CPM Homework Help : CCA2 Problem C-31

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C-31.

Rewrite each of the expressions below with no parentheses and no fractions. Negative exponents are acceptable in your answer.

$\left(5a^{-2}b^3\right)^8\cdot\left(5ab^{-2}\right)^{-6}$
Hint (a):
Distribute the exponents.
Answer (a):
$5^2a^{-22}b^{36}$

$\frac{15x^{-5}y^2}{\left(3x^2\right)^2\cdot y^{-3}}$
Hint 1(b):
Simplify the denominator first.
Hint 2(b):
Write $3x^2$ twice and find how many factors of $3$ are multiplied together and how many of $x$ are multiplied together.
Hint 3(b):
Now think about making ones and where any left over factors would remain.
Answer (b):
$\frac{5y^5}{3x^9}$

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