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VashaNatasha [74]
3 years ago
10

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

Mathematics
2 answers:
Sergio [31]3 years ago
6 0
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
Yakvenalex [24]3 years ago
4 0

Answer:

The correct answer is B

Step-by-step explanation:

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