### Home > AC > Chapter 11 > Lesson 11.1.3 > Problem 11-36

11-36.

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

(5

*a*^{−2}*b*^{3})^{8}· (5*ab*^{−2})^{−6}

Distribute the exponents.

(5^{8}*a*^{−16}*b*^{24}) · (5^{−6}*a*^{−6}*b*^{12})

How many factors of 5 are multiplied together? How many of *a*? How many of *b*?

25*a*^{−22}*b*^{36}

Simplify the denominator first.

Write 3*x*^{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.