Question

Simplify the following expression. 4a^-2b A.) b/4a^2 B.)4b/a^2 C.)1/4a^b2

Answer 1

ANSWER

The correct answer is B

$\frac{4b}{ {a}^{2} }$


EXPLANATION

The given exponential expression is

$4 {a}^{ - 2} b$

We can rewrite this as,

$4b \times {a}^{ - 2}$

We need to simplify to obtain a positive index, so we apply the following property,


${a}^{ - m} = \frac{1}{ {a}^{m} }$

This implies that,


$4b \times {a}^{ - 2} = 4b \times \frac{1}{ {a}^{2} }$

This will finally simplify to,

$4b \times {a}^{ - 2} =\frac{4b}{ {a}^{2} }$


Therefore the correct answer is B

Answer 2

Answer:

The correct answer is B

Step-by-step explanation: