### Home > ACC7 > Chapter 10 Unit 11 > Lesson CC3: 10.1.5 > Problem10-68

10-68.

Simplify each of the following expressions.

1. $(5x^3)^2$

Notice that when you put exponents outside of a pair of parentheses, the exponent applies to all of the factors within the parentheses.

$5^2{x}^{3(2)}$

$5^2{\it x}^6$

1. $\frac { 14 a ^ { 3 } b ^ { 2 } } { 21 a ^ { 4 } b ^ { 3 } }$

Look for Giant Ones.

$\frac{2}{3ab}$

1. $2m^{3}n^{2 }· 3mn^{4}$

When multiplying the same bases together, add the exponents.