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

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Question 94862: How do I solve this word problem?
National Debt: In December of 2005, the U.S. national debt was approximately 8.1 x 10 with exponent 12 dollars. At that time, the population of the U.S. was 2.98 x 10 with exponent 8 people. In December of 2005, what was the U.S. debt per person?

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Question 94858: how is this problem solved? [1/8] with exponent of -4/3
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Question 94926: write 3624 in expanded form using exponents.
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Question 95082: What is 25^(3/4)
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Question 92649: Write the product as a power
a-a-a-a-a-a-a

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Question 95443: Can you please help me with this problem: 6^n-5 Times 3^5-n. Thank you for your help.
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Question 94859: How do I solve this word problem?
National Debt: In December of 2005, the U.S. national dept was approximately 8.1 x 10 with exponent of 12 dollars. At that time, the population of the U.S. was 2.98 x 10 with exponent of 8 people. In December of 2005, what was the U.S. debt per person?

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Question 95690: 1.how do i write the exponets of
x*x*y*y*y?
is it x2 y3?
2.how do i write the exponets of
a/b*a/b*c/d*c/d*c/d?

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Question 96006: How do you write 10 to the 5th power in standard form?
solution of the equation 3y-5y+10=36?
Find p: 2p+10=40?

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Question 96307: Where may I find a list of definitions for allgebra vocabulary?
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Question 96317: what is 5.2 x 10 to the negative 3rd power and why
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Question 96302: can some1 help me?
pi(5)^2

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Question 96688: Can you please help with the following problem? 4m%5E2-4m%2B2 m= 1%2F4
I first start with factoring out the exponent and I get: 4%2F1 * 1%2F4 * 1%2F4 - 4%2F1 * 1%2F4 + 2%2F1. Then I lose it. I know the answer is 5%2F4 but I can't get it. I keep getting 2. Please help. Thank you.

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Question 96840: find the GCF of 90x2,60x6,80x4
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Question 96847: how do you answer this question? (2^4)(2^3) I tink the answer may be negative exponent law = 1/2^1
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Question 96847: how do you answer this question? (2^4)(2^3) I tink the answer may be negative exponent law = 1/2^1
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Question 93747: can someone show me how to simplify (3x)^-1/3
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Question 96572: how do I solve (ab)to the 5th power?
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Question 96923: what is the value of 1 to the power of root 2x
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Question 97152: How do I solve for A and also B with the following equation?
(5x^4)(4x^2)=Ax^b
My quess
A= (5x^4)(4x^2)/x^b so..
A=20x^6/x^b so..
A=20x^(6+b) (Is this answer correct?)
B= I don't know how to solve this.

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Question 93980: I think this is the right topic, but i am not sure. If you could please help me, that would be great. i really appreciate this. My math worksheet says to simplify- No variable represents a value that would make the expression meaningless. (i used a dashed line to represent that it is division)
(4a^3 b^-4)^3
--------------
(20a^-3) (b^3)

Thank you so much. God bless.

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Question 97670: 9/4a=13
or 9 = 13 * 4a
or 9 = 52a
or 9 / 52 = a
2/7=x/3
or (2 /7) * 3 = x
or 6/7 = x

7x/8-1/4+3x/4=1/16+x

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Question 97668: 5x/7=-10/14



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Question 97794: help me pleasee!! Solve simultaneously:
log+xy+=7 , log+%28x%2Fy%29=+10
so far ... if log+%28base+10%29+%28x%2Fy%29=10 this implies that %28x%2Fy%29=10
therfore, x=10y ... thats all i got!

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Question 97794: help me pleasee!! Solve simultaneously:
log+xy+=7 , log+%28x%2Fy%29=+10
so far ... if log+%28base+10%29+%28x%2Fy%29=10 this implies that %28x%2Fy%29=10
therfore, x=10y ... thats all i got!

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Question 97794: help me pleasee!! Solve simultaneously:
log+xy+=7 , log+%28x%2Fy%29=+10
so far ... if log+%28base+10%29+%28x%2Fy%29=10 this implies that %28x%2Fy%29=10
therfore, x=10y ... thats all i got!

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Question 97751: I do not know how to simplify the following:
(x^-7 y^11 z^14)^-2
Thanks!!

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Question 97898: A boojum is avery slow growing catus. one- fifty- year old bloojum is 1.5 meters tall and has been growing about 0.03 meters each year. assume the growth pattern continues. a. write an expression for the height in meters of the boojum y =years from now b .how tall will the boojum be in 50 years." pleas asap
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Question 97994: Simplify. Use positive exponents.
(3x^-3 X x^6)/y^-2

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Question 98068: 5a^2 X 4ab^5
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Question 98067: 5a^2 X 4ab^5
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Question 98026: |-5| what is the answer for this expression
|15| whats the answer for both of these and how did you come up with the conclusion

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Question 98011: What is the answer to this equation? 3^2+2(3+1)^2=
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Question 98751: I am having trouble figuring how to set up and solve this equation:
Solve for x: (1/4) ^2x+8 = (16) ^ 2x+5
I have tried to guess numbers an put them in practice but I am not clear what operations I need to use to follow this equation
I appreciate your help!!

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Question 98894: Could you please help me solve (2x)^5y^-6 divided by (3x)^-3(2y)^2.
Thanks

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Question 98978: how do i write this in standard form(8x10to the power 0f 7)+(1x10p of 3)+(5x10)+ (2x1/10)+(9X1/10)
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Question 99319: Please help me solve this problem. I am stumped on what to do.
Thank-you!!!
15(23-4x2)3rd power divided by(3x25)

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Question 99313: -10c³ in this problem c=3
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Question 99380: Hello, can you please help me solve this problem? I've asked mathnerds and read purple math and no one can help me solve it. I entered the problem here but it was returned stating No functions. The question is:
If x does not equal 0, then (2^4x)(8^2x) =
Thanks for your help, Susan

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Question 99380: Hello, can you please help me solve this problem? I've asked mathnerds and read purple math and no one can help me solve it. I entered the problem here but it was returned stating No functions. The question is:
If x does not equal 0, then (2^4x)(8^2x) =
Thanks for your help, Susan

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Question 99444: This problem also includes complex fractions. I simply forget one rule about adding exponents. The equation is 6%2F4x%5E2%2B2%2F5x. So far I have found the common denominator which is 20x^3. My problem is adding the exponents in the numerator and then simplifying the solution. Would you please help me?
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Question 99488: Question #29 says to simplify...
(5*10^8)(y*10^9)
textbook answer is 35*10^17.
I tried FOIL method.
Can get 10^17
but not 35
Thanks
Paul

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Question 99525: the area of square field is 5184 m. square. a rectangular field , whose length is twice its breadth has its perimeter equal to the perimeter of the square field . find the area of the rectangular field.
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Question 99524: the area of aquare field is 60025 m. square. A man cycles along its boundary at 18 km/hr. I how much time will he return at the starting point.
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Question 99562: A rectangular garden has sides of 3x – 4 and 7x + 10. Find the expression that represents its perimeter. Simplify your answer.
Thanks

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