Math, asked by rishusingh91, 1 year ago

solved this please much fast it's argent

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Answers

Answered by Anonymous
9
QUESTION.

 {( {2}^{3} \div 2)}^{4}

ANSWER

EQUATION

 {( {2}^{3} \div 2) }^{4}

STEP 1

WRITE THE EQUATION IN FRACTION

 { (\frac{( {2}^{3}) }{2}) }^{4}

now. solve

 \frac{ {2}^{3 \times 4} }{ {2}^{4} }

 \frac{ {2}^{12} }{ {2}^{4} }

 {2}^{12 - 4}

 {2}^{8}

 {2}^{4} \times {2}^{4}

16 \times 16

256 \: \:ans.

BrainlyKing5: Great answer
Answered by BrainlyKing5
11
\huge{Hey\:Mate\:Here\:Is\:Your\:Answer}

\textbf{Given To ...}

Find Value Of

 { ({2}^{3} \div 2) }^{4}

Now Let's Move For Solution ...

\textbf{Solution...}

Now To Find Value Follow The Simple Steps....

\underline\bold{ 1 ) Solve The Bracket }

That Is....

{( \frac{ {2}^{3} }{2}) }^{4}

\underline\bold{ 2) Use\:Laws\:of\: Exponents\:And\:Find\: Value\:}

Now We Know One Law of Exponents That Is ...

\large{( \frac{a}{b})}^{m} = \: \frac{ {a}^{m} }{ {b}^{m} }

Now By Using This Law We Have ...

\large{( \frac{ {2}^{3} }{2} )}^{4} = \frac{ {( {2}^{3}) }^{4} }{ {(2)}^{4} }

Now Using Law

\large{({a}^{m})}^{n} = {a}^{mn}

We Have ....

\large{\frac{ {2}^{3 \times 4} }{ {2}^{4} }}

That Is ...

\frac{ {2}^{12} }{ {2}^{4} }

Now By Using Law

\frac{ {a}^{m} }{ {a}^{n} } = \: {a}^{m - n}

We Have ...

{2}^{(12 - 4)}

That Is...

 {2}^{8}

That Is Equal To...

2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2

That Is ...

{2}^{4} \times {2}^{4}

That Is...

16 \times 16 \: = 256

Therefore We Have ...

 { ( {2}^{3} \div {2})}^{4} \: = \: 256

\textbf{Hence The Required Answer Is }

\boxed{256}

\blue{Be\: Brainly...}
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