### Home > CCA2 > Chapter A > Lesson A.1.1 > ProblemA-10

A-10.

Simplify each expression below. Assume that the denominator in part (b) is not equal to zero. Homework Help ✎

1. $(x^3)(x^{-2})$

Use the rule of a negative exponent:

$x^{-2}=\frac{1}{x^2}\text{ so }(x^3)(x^{-2})=x^3\cdot\frac{1}{x^2}$

Expand and factor out any 1s:

$x^3\cdot\frac{1}{x^2}=\frac{xxx}{xx}$

$x$

1. $\frac { y ^ { 5 } } { y ^ { - 2 } }$

Use the rule of a negative exponent:

$\frac{1}{y^2}=y^{-2}\text{ so }\frac{y^5}{y^-2}=y^5\cdot y^2$

1. $4^{-1}$

What does the negative exponent mean? How can you simplify?

1. $(4x^2)^3$

Refer to problem A-9.