Question

solved this please much fast it's argent

Answer 1

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

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

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

${2}^{12 - 4}$

${2}^{8}$

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

$16 \times 16$

$256 \: \:ans$.

Answer 2

$\huge{Hey\:Mate\:Here\:Is\:Your\:Answer}$

$\textbf{Given To ...}$

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 ...

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

$\textbf{Hence The Required Answer Is }$

$\boxed{256}$

$\blue{Be\: Brainly...}$