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snow_tiger [21]
3 years ago
5

What is the answer ? Help pls

Mathematics
1 answer:
arlik [135]3 years ago
4 0

Answer:

<h2><em><u>B</u></em><em><u>.</u></em><em><u> </u></em><em><u>4</u></em></h2>

Step-by-step explanation:

<em><u>Given</u></em><em><u>,</u></em>

{x}^{8}  =  {( {2}^{2} )}^{4}

<em>Since</em><em><u>,</u></em>

{ ({a}^{x} )}^{y}  =  {a}^{xy}

<em>Then</em><em>,</em>

=  >  {x}^{8}  =  {2}^{2 \times 4}

=  >  {x}^{8}  =  {2}^{8}

<em>(</em><em>Since</em><em> </em><em>the</em><em> </em><em>exponents</em><em> </em><em>are</em><em> </em><em>same</em><em> </em><em>so</em><em> </em><em>the</em><em> </em><em>bases</em><em> </em><em>will</em><em> </em><em>be</em><em> </em><em>also</em><em> </em><em>same</em><em>)</em>

<em><u>Therefore</u></em><em><u>, </u></em>

=> <em><u>x = 2 </u></em>

<em><u>As</u></em><em><u> </u></em><em><u>per</u></em><em><u> </u></em><em><u>condition</u></em><em><u>, </u></em>

{x}^{2}

<em>(</em><em>Putting</em><em> </em><em>value</em><em> </em><em>of</em><em> </em><em>x</em><em> </em><em>=</em><em> </em><em>2</em><em>)</em>

={2}^{2}

= <em><u>4</u></em><em><u> </u></em><em><u>(</u></em><em><u>Ans</u></em><em><u>)</u></em>

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