Write the following expression with a single exponent. Assume there is no division by 0. $$\frac { b ^ { 9 m } } { b ^ { 7 m } }$$
A) $b ^ { 16 m }$
B) $b ^ { 2 m }$
C) $b ^ { 63 m }$
D) $\frac { 1 } { b ^ { 2 m } }$
E) $b ^ { - 2 m }$

Question

Quizplus · Accepted Answer

When dividing exponents with the same base, subtract the bottom exponent from the top exponent.

$$\frac { b ^ { 9 m } } { b ^ { 7 m } } = b ^ { 9 m - 7 m } = b ^ { 2 m }$$

Therefore, the answer is Choice B.

Write the Following Expression with a Single Exponent b9mb7m\frac { b ^ { 9 m } } { b ^ { 7 m } }b7mb9m​

Write the Following Expression with a Single Exponent $\frac { b ^ { 9 m } } { b ^ { 7 m } }$