Questions on Algebra: Exponents and operations on exponents answered by real tutors!

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Question 490151: Square 6, then double the result. Is your answer always, sometimes, or never greater than the result of doubling the number, then squaring it? justify your answer.
Click here to see answer by josmiceli(19441) About Me 

Question 490491: Simplify (2a^5)(-3a^-7)
I got -6a^-2. There can't be a negative exponent so then I did 1/-6a^2. I'm pretty sure I'm wrong. Help please

Click here to see answer by John10(297) About Me 

Question 490576: Evaluate this expression: 2^22^-12^42^-4
Click here to see answer by Alan3354(69443) About Me 

Question 490262: I don't even understand this let alone know how to answer it, could someone please explain? it would be really appreciated.
The following is an exponential relationship between unemployment rate, U, and inflation rate, I depicted by the function
I = 24e^(-0.3U)
a. Sketch a graph of this function, for domain 0 ≤ U ≤ 10
b. Rearrange the formula for the above function to make U the subject.

Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 490720: -(1/2)^4
Click here to see answer by jim_thompson5910(35256) About Me 

Question 490863: Not sure what topic this would be, but...
I have this math book 'Math to the Max 1200 questions!' So far I have encountered a couple problems with answers.
Simplify the following expression.
4x^-2(3ax)^5
The simplified answer I came up with is: 972a^5x^3
The simplified answer in the book is: 108a^3x
This doesn't make any sense to me. I have also checked using a few online expression calculators/simplify that came up with the same answer I have. 972a^5x^3 What is the correct answer? :( He explains the method he used to get the answer, but it doesn't make sense and he never explained it before the exercise questions.
One more :)
Simplify the following expression.
(3x)^3 / x^2*x^4 (online calcs need the last bit in parentheses, so, (x^2*x^4)
The simplified answer I came up with (and online calculators): 27/x^3
The simplified answer the author came up with: 27x/3
It doesn't make any sense... :( Unless the author is incorrect. Haha, I can hope. :D


Thanks for your time. :)



Click here to see answer by mananth(16946) About Me 

Question 491038: Please help me with this Algebra problem. Thank you in advance.
Please write Yes Or No
Is x = -5 a solution to -2x + 10 = 0

Click here to see answer by stanbon(75887) About Me 

Question 491040: Please help with thi algebra problem. Thank you.
Solve using Addition Principle.
-15 + c = -2

Click here to see answer by Alan3354(69443) About Me 

Question 491046: Please Simplify. Thanks in advance.
y - 1 - (y - 4)

Click here to see answer by MathLover1(20849) About Me 

Question 491045: Please Solve the equation. If it is an Identity (all real numbers) or a Contradiction ( no solution) so state. Thank you in advance.
6x + 2 + 3x = 10x + 2 - x

Click here to see answer by stanbon(75887) About Me 

Question 491047: Please help me with this Algebra problem. Thank you in advance.
Solve the equation. Please show all work.
-2x - 5 = -10

Click here to see answer by MathLover1(20849) About Me 

Question 491620: solve: 6r^3 + 7r^2 = 3r (please show me step by step, it would be very helpful)
Click here to see answer by lwsshak3(11628) About Me 

Question 490408: %283x%5E2y%5E-7%2F-3y%5E-3%29%5E4
Click here to see answer by lwsshak3(11628) About Me 

Question 492209: please help me solve this equation
solve for x.
7x-5b=ax+3

Click here to see answer by chessace(471) About Me 

Question 492415: Hi, I need to solve 16y(to 12th power)/8y(to the 4th power). My answer was 2y(to the 3rd power) but it was wrong. Can you help me solve this step by step? Thank you.
Click here to see answer by stanbon(75887) About Me 

Question 492636: Multiply
(-3n)^2(2n^9)^2
I can never remember what to do with exponents like this. Multiply or add? Any help will be greatly appreciated

Click here to see answer by mananth(16946) About Me 

Question 493516: 5. Short Answer: Convert this number to scientific notation:
64,000,000
please help.

Click here to see answer by richard1234(7193) About Me 

Question 493908: How do I write each product using exponents

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Question 494592: An aquarium has a square base with a side length of 15 inches. You fill the aquarium with water to a height of 15 inches.
a. Find the volume of the water in the aquarium.
b. A cubic inch of water weighs approximately 0.036 pound. Find the approximate weight of the water in the aquarium.

Click here to see answer by solver91311(24713) About Me 

Question 494602: 4. Convert to scientific notation: 0.0267

(A) 2.67 · 10-1
(B) 2.67 · 10-3 ·
(C) 2.67 · 10-2
(D) 2.67 · 102
I need some help please.

Click here to see answer by stanbon(75887) About Me 

Question 494604: 6. Subtract the complex expressions, and simplify.
(-1.5 – 1.6i) – (-2.1 + 7.5i)
which one?
(A) 0.6 – 9.1i
(B) -8.5i
(C) 9.7
(D) -8.5
i need some help please.

Click here to see answer by stanbon(75887) About Me 

Question 494607: 9. Simplify the following expression; express in terms of i.

sqrt(-80)

Click here to see answer by stanbon(75887) About Me 

Question 494613: 1. Simplify the following expression, and rewrite it in an equivalent form with positive exponents.


24x^3y^-3/72x^-5y^-1
please help me out I Do not understand.

Click here to see answer by stanbon(75887) About Me 

Question 494603: 5. Use scientific notation to multiply the following two numbers. Express the answer using scientific notation; retain all nonzero decimal places.
(2.6 · 10^2) · (7.3 · 10^3)



Click here to see answer by rfer(16322) About Me 

Question 494627: I am having a hard time with multiplying out (2+h)^3. I have tried to do
(2+h)(2+h)(2+h) and did (2^2+2h+h^2)= (4+2h+h^2) . I am using this in Derivatives.
So If f(x)=x^3 I have to find the tangent line of the equation through point (2,8).
So F'(2+h)= ((2+h))^3 Which is (4+2h+h^2)
Then F'(2)= (2)^3 Which is (8)
So then I take (4+2h+h^2)-(8)
and I get -4+2h+h^2/h Do you see my problem.
I have tried this so many different ways. Where am I making my error?

Click here to see answer by richard1234(7193) About Me 
Question 494627: I am having a hard time with multiplying out (2+h)^3. I have tried to do
(2+h)(2+h)(2+h) and did (2^2+2h+h^2)= (4+2h+h^2) . I am using this in Derivatives.
So If f(x)=x^3 I have to find the tangent line of the equation through point (2,8).
So F'(2+h)= ((2+h))^3 Which is (4+2h+h^2)
Then F'(2)= (2)^3 Which is (8)
So then I take (4+2h+h^2)-(8)
and I get -4+2h+h^2/h Do you see my problem.
I have tried this so many different ways. Where am I making my error?

Click here to see answer by MathLover1(20849) About Me 

Question 494631: 7. Simplify the following product of complex numbers.
(-3 + 2i) · (-4 – 8i)

Click here to see answer by MathLover1(20849) About Me 

Question 495224: hi! if a^x=y then how can i find x??
thank you

Click here to see answer by stanbon(75887) About Me 

Question 495606: #52 Simplify
5x^0 when x = −22
PLease help me I can not get this right!!

Click here to see answer by richard1234(7193) About Me 

Question 496636: Could you explain the product rule of exponents. Why does it work. Give examples
Click here to see answer by richard1234(7193) About Me 

Question 497049: Write this number 191,000,000,000,000,000,000 in scientific notation
Click here to see answer by richard1234(7193) About Me 

Question 498272: Reduce and write your answer in quotient form with no negative exponents. Show your work
30 x to the 6 power
6 x to the 11 power

Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 498553: Please help me simplify this problem. 3•p•k•4•p•2•k
Click here to see answer by rfer(16322) About Me 

Question 499079: Use properties of exponents to simplify. The answer should not have any negative exponents.
(9x^-1z)^2(2xy^-3)^-3
Assume final "-3" is an exponent.
Thanks for your help in advance!

Click here to see answer by chessace(471) About Me 

Question 499297: Express 98 as a sum or difference of two numbers whose powers are easier to
calculate and then use binomial theorem to compute 98 raised to the power 5.

Click here to see answer by richard1234(7193) About Me 
Question 499297: Express 98 as a sum or difference of two numbers whose powers are easier to
calculate and then use binomial theorem to compute 98 raised to the power 5.

Click here to see answer by chessace(471) About Me 

Question 498529: 4x4x4

Click here to see answer by Flannery(124) About Me 

Question 499545: What is Walmart's 2011 p/e. I need complete calculations.
Click here to see answer by Alan3354(69443) About Me 

Question 499656: evaluate the variable expression for the given values of x and y?
Click here to see answer by Alan3354(69443) About Me 

Question 500458: i really need more help with this and i would really appreciate more help.
Click here to see answer by nerdybill(7384) About Me 

Question 500266: The supplement of an angle is 26 more than 5 times its complement. Find the measure of the angle.
I need this explained thoroughly, so I can figure out similar problems! Thank you!
ASAP would be nice too!
Thanks!

Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 500572: How do i find the solution to my problem, when there is two numbers with variables ?
Click here to see answer by Alan3354(69443) About Me 

Question 501214: Hi, my question is about order of operations. I have tried this question so many times but never got the right answer:
4[2(-5x+y)-y]-10(y-4x)
Can you help me? *if possible, can you give me step by step?*
Thank you!

Click here to see answer by nerdybill(7384) About Me 

Question 497877: can u send me the rule for algebra for divding and multiplying intergers
thank you
- melyssa

Click here to see answer by Flannery(124) About Me 

Question 500116: how do you multiply with exponents
Click here to see answer by Flannery(124) About Me 

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