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

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Question 257984: 8 = 2^3
I submitted the first problem incorrectly and tried to solve the problem with some understanding from the text. I states if x =a^p then 1/x =1/ap = a-p. So I was trying to decipher the above example using the formula.
8= 2^3 then 1/2 = 0.5 = 8- 1/3. I wanted to know how the 1/2 was arrived at.Or can someone explain the process. I am Clueless
Thanking you in advance
TeiTei

Click here to see answer by kev82(148) About Me 

Question 258266: re write the following with out a negative exponent.
(-4)^-2
would it be (1/16) or would it be (1/-16)

Click here to see answer by edjones(7569) About Me 

Question 258198: I need to solve an equation w/ a rational exponent
sample - (x-4)3/2(exponent)=27

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Question 258534: explain whether the square of any nonzero number is sometimes, always, or never a positive number.
Click here to see answer by drk(1908) About Me 

Question 258541: if the noodles are laid end and end and each noodle is 5 feet long, after how many of these folds will the length be more than a mile
Click here to see answer by drk(1908) About Me 

Question 258668: I need to preform the following calculations: e^-2.15. also ln6.213
Click here to see answer by stanbon(57387) About Me 

Question 258897: (x^4)^3
Click here to see answer by Greenfinch(383) About Me 
Question 258897: (x^4)^3
Click here to see answer by checkley77(12569) About Me 

Question 258925: Please help me understand this problem: The variable q stand for a prime number. Make a factor tree. Then write the prime factorization without exponents for each expression: 8qtothe2nd
Click here to see answer by ankor@dixie-net.com(15660) About Me 

Question 259114: factor completely: 64x^3-25x
Click here to see answer by nerdybill(6962) About Me 

Question 259693: If (3 – x)^2 = 25, what is the largest possible value of x^2?
Click here to see answer by gsmani_iyer(180) About Me 

Question 259933: ax(2)+bx+c=0 (where a is greater than or equal to 0)
What's going to be the third step?

Click here to see answer by richwmiller(9143) About Me 

Question 259963: If 4x + 4y = 20 and 8x^-1/2 = 4^-1, then what is the value of y?
Click here to see answer by edjones(7569) About Me 

Question 259267: Please help me solve this equation -5 * 4 - (2- (-2)^2)^2
I initiated this problem and will try and solve it.
-5 * 4 - (2-(-2)^2)^2
(2-(-2)^2)^2 evaluates to 4 so
= -5*4 -(-4)
= -20 + -4
= -24

Click here to see answer by TeiTei(1) About Me 

Question 260839: 9^3/2
Click here to see answer by Greenfinch(383) About Me 

Question 261903: "what is 8 with a exponent of 15"
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Question 261952: -(7x)^2 = 49x^2 or -49x^2
Click here to see answer by dabanfield(803) About Me 

Question 261961: what is 2x+1>3x?
how do you do it and what is the awnser.

Click here to see answer by solver91311(16897) About Me 

Question 262094: A chemical sample contains 23 mg of a radioactive substance. 4 hours ago it contained 25mg. how many grams will the sample contain four hours from now? 8 hours?
formula: A(t)=Ao(1+r)^(t/f)
so I am guessing this: A(t)=25(23/25)^(t/4)and A(t)=25(23/25)^(t/8)

Click here to see answer by Alan3354(30993) About Me 

Question 262196: solve for x 3^x / 3^3x =1/9
Click here to see answer by richwmiller(9143) About Me 

Question 262219: What is the solution to the following two questions?

2^3+2^-1 = ?
3^3+3^3 = ?

Click here to see answer by drk(1908) About Me 

Question 262262: A glacier advance at 3.2 x 10^-6 cm/s. How far will it move in 73000 s? answer in cm.
Click here to see answer by Alan3354(30993) About Me 

Question 262500: pls help...if 9^x=27^y and 8^y=16^z, then what is the value of x:y:z?? thank u in advance
Click here to see answer by Edwin McCravy(8909) About Me 

Question 262819: what is the answer to [(3+2)2*2]-(6-3)2
Click here to see answer by drk(1908) About Me 

Question 262845: What is the formula or way to solve -b=12.5?
Click here to see answer by Ruli(21) About Me 

Question 263048: what is (-5) to the zero power?
Click here to see answer by Earlsdon(6287) About Me 
Question 263048: what is (-5) to the zero power?
Click here to see answer by stanbon(57387) About Me 

Question 263095: Find all real solutions of the equation. List solutions in increasing order.
2(x^-4) - 10(x^-2) + 2 = 0
Have tried to simplify and eliminate but must be missing something because I can't get anything to equal 0.

Click here to see answer by jim_thompson5910(28598) About Me 
Question 263095: Find all real solutions of the equation. List solutions in increasing order.
2(x^-4) - 10(x^-2) + 2 = 0
Have tried to simplify and eliminate but must be missing something because I can't get anything to equal 0.

Click here to see answer by drk(1908) About Me 

Question 263174: Solve the problem equation for x by using the quadratic formula 6x^2+7x-2=0
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Question 263179: Find the root of the quadratic equation x^2-8x+15=0
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Question 263186: Evaluate ((-2)^2-2)^2+5 *4
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Question 263186: Evaluate ((-2)^2-2)^2+5 *4
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Question 263184: Simnplify the expression as much as possible y cuberoot of 20u^3 + 6u cube root 45uy^2
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Question 263189: The surface area s of a right prism is give by S=2B+Ph, where b is the area of the base p is the perimeter of the base, h is the height of the prism. Sove for h.
Click here to see answer by drk(1908) About Me 

Question 263508: what is -15
to the 15th power

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Question 263590: 1 + 1.17X = 0.9 (1.3X + 4) - 2.6
Click here to see answer by drk(1908) About Me 

Question 264086: x to the 6th +125
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Question 264322: six numbers form an arithmetic sequence. The mean of the numbers equals the range. If the smallest number is 30, what is the largest number?
Click here to see answer by JBarnum(2044) About Me 

Question 264316: A sphere and a cube have the same volume. What is the ratio of the diameter of the sphere to the edge length of the cube ? Express answer as a decimal to the nearest hundredth.
Click here to see answer by mananth(12270) About Me 

Question 264314: How many odd, perfect-square factors does the number 2(4th) x 3(6th) x 5(10th) x 7(9th) have? numbers in ( ) are powers.
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Question 264714: Can you tell me how to find the real number solutions of the equation
x^3+5x^2=0

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Question 264828: my son is learning to divide exponents and i am not sure how to do this one.
x to the power of negative 2 y to the fourth power

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Question 264828: my son is learning to divide exponents and i am not sure how to do this one.
x to the power of negative 2 y to the fourth power

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Question 265282: (-4a to the third power)to the 2nd power....what is the answer?
is it 16a to the 6th power? Do you know how to get superscript online? I couldnt figure it out....thanks!

Click here to see answer by rfer(12670) About Me 

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455