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Simplify the following using law of exponents for $a = 2, x = 1, y = 1, z = 1$

$a^{x} \times a^{y} \times a^{z}$

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2

4

8

16

answer is C.

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Detailed Solution

Given,

a = 2, x = 1, y = 1, z = 1

and

a^{x} \times a^{y} \times a^{z}

.
We know,

a^{x} \times a^{y} \times a^{z} = a^{x + y + z}

Substituting

a = 2, x = 1, y = 1, z = 1

in the above equation.

∴ 2^{1 + 1 + 1}

\Rightarrow 2^{3}

\Rightarrow 8

Therefore, option (3) is correct.

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