### Home > INT2 > Chapter 6 > Lesson 6.1.1 > Problem6-8

6-8.

Simplify each of the expressions below. Your final expressions should contain no negative exponents and no parentheses.

1. $(-10a^{-1})(2a^4b)$

This is equivalent to $-10(2)(a^{-1})(a^4)(b)$.

$-20a^3b$

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

This is equivalent to $(3x^4y)(3x^4y)$.

1. $\frac { 4 z ^ { 5 } } { 2 z ^ { - 2 } }$

Recall the rule for negative exponents.

$\frac{z^5}{z^{-2}}=z^5z^2$

$2z^7$