3 years ago

Can anyone plz help me ASAP? This is urgent, due by tmr! Plz help! Tysm

Mathematics

1 answer:

nadezda [96]3 years ago

4 0

Here's the equation,please do ask if you don't understand. Sorry for my terrible hand writing ^^; hope it helps!

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

Sergio [31]

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

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