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irga5000 [103]
3 years ago
8

Simplify the expression where possible. (x^2)^4

Mathematics
1 answer:
balu736 [363]3 years ago
3 0

Answer:

<h3><em>x</em><em>^</em><em>8</em></h3>

Step-by-step explanation:

According to the third law of indices,

<h3><em>(</em><em>x</em><em>^</em><em>m</em><em>)</em><em>^</em><em>n</em><em> </em><em>=</em><em>x</em><em>^</em><em>mn</em><em> </em><em>(</em><em>i</em><em>.</em><em>e</em><em>,</em><em> </em><em>m</em><em>×</em><em>n</em><em>)</em></h3>

In this case m=2 and n=4

So that can be applied thus:

<h3><em>(</em><em>x</em><em>^</em><em>2</em><em>)</em><em>^</em><em>4</em><em> </em><em>=</em><em>x</em><em>^</em><em>2</em><em>×</em><em>4</em></h3>

<em>2</em><em>×</em><em>4</em><em>=</em><em>8</em>

so it will now be written this way:

<em>x</em><em>^</em><em>8</em>

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