SOLUTION: Simplify the expression. Do not use negative exponents in the answer. (1/4x^7)^3 (x^3)^6 I am really confused on this problem. anyone suggestion would be great on how t

Question 319203:
Simplify the expression. Do not use negative exponents in the answer.

(1/4x^7)^3 (x^3)^6
I am really confused on this problem. anyone suggestion would be great on how to do this problem?
Found 3 solutions by jim_thompson5910, mananth, stanbon:
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Start with the given expression.

Distribute the exponent.

Distribute the exponent again.

Raise 4 to the third power to get 64.

Multiply the exponents.

Multiply.

Raise 1 to the third power to get 1.

Combine the fractions.

Subtract the exponents to divide.

Subtract.

Flip the base with the negative exponent.

So
Answer by mananth(16946)   (Show Source): You can put this solution on YOUR website!
(1/4x^7)^3 (x^3)^6
1/64 x^21 * x^18
1/64 * x^39
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
(1/4x^7)^3 (x^3)^6
----------------------------
Assuming the 4x^7 is in the denominator of the 1st fraction I get:
(1/(64x^21))*(x^18)
----
= (1/64)(x^18/x^21)
---
= (1/64)(1/x^3)
---
= 1/(64x^3)
====================
Cheers,
Stan H.
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