### Home > AC > Chapter 11 > Lesson 11.1.1 > Problem11-11

11-11.

Using your knowledge of exponents, rewrite each expression below so that there are no negative exponents or parentheses remaining.

1. $\frac { 4 x ^ { 18 } } { 2 x ^ { 22 } }$

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

$\frac{ 2 }{x^{4} }$

1. $\left(s^{4}tu^{2}\right)\left(s^{7}t^{−1}\right)$

How many factors of s are multiplied?
How many of t?
How many of u?

s11u2

1. $\left(3w^{−2}\right)^{4}$

Write 3w−2 multiplied four times then follow the same pattern as seen in part (b).

$\frac{ 81 }{w^{8} }$

1. $m^{−3}$

Move the exponent and its base into the denominator
of a fraction to make the exponent positive.

$\frac{ 1 }{m^{3} }$