Question

Guys Plz Help!
I have rounded up a Question and it is in the attachment. I know that it's answer is 1/8, but I don't know how we get the answer. I will mark the best answer as Brainliest, and follow you

Answer 1

Answer:

16^-3/4

16=(2^4)^-3/4

the 4 will cancel out each other

therefore ANSWER will be

2^-3

= 1/8

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Answer 2

Question:

Evaluate

(iii) (16)^(-¾)

Answer:

1/8

Step-by-step explanation:

Given an expression,

${(16)}^{ - \frac{3}{4} }$

To find its value.

We know that,

• 16 = 2^4

Therefore, we will get,

$= {( {2}^{4} )}^{ - \frac{3}{4} }$

But, we know that,

• ${ ({a}^{x} )}^{y} = {a}^{xy}$

Therefore, we will get,

$= {2}^{(4 \times ( - \frac{3}{4} ))} \\ \\ = {(2)}^{ - 3}$

But, we know that,

• ${x}^{ - y} = \frac{1}{ {x}^{y} }$

Therefore, we will get,

$= \frac{1}{ {2}^{3} } \\ \\ = \frac{1}{8}$

Hence, the required value is 1/8.