### Home > CCA > Chapter 11 > Lesson 11.2.2 > Problem11-51

11-51.

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

1.  $(5a^{-2}b^3)^8·(5ab^{-2})^{-6}$

Distribute the exponents.

$5^2a^{−22}b^{36}$

1.  $\frac { 15 x ^ { - 5 } y ^ { 2 } } { ( 3 x ^ { 2 } ) ^ { 2 } \cdot y ^ { - 3 } }$

Simplify the denominator first.

Write $3x^2$ twice and find how many factors of $3$ are multiplied together and how many of $x$ are multiplied together.

Now think about making ones and where any left over factors would remain.

$\frac{5y^5}{3x^9}$