Question

Simplify [(3)^4]^2 I will mark at brilliant​

Answer 1

Answer:

$((3)^{4} )^{2}$

First we will multiply the powers

$4 \times 2 = 8$

$(3)^{8}$

open bracket

$6561$

Step-by-step explanation:

hope it helps uhh

Answer 2

Topic :-

Exponents.

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Question :-

Simplify $\sf \big {[{(3)}^{4} ]}^{2}$

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Solution :-

Given Information :-

$\sf \big {[{(3)}^{4} ]}^{2}$

To Find :-

Simplify $\sf \big {[{(3)}^{4} ]}^{2}$

Calculation :-

Multiply both the given powers and then find the solution.

$\sf : \implies \sf \big {[{(3)}^{4} ]}^{2}$

$\sf : \implies{(3)}^{4 \times 2}$

$\sf : \implies(3)^{8}$

$\sf : \implies 3 \times 3 \times 3 \times 3 \times 3\times 3 \times 3 \times 3$

$\sf : \implies 6,561$

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Final Answer :-

$\sf \red{(3)^{8} = 6,561}$

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Note :-

Property used is, When a power is to another power, the powers are multiplied, as shown in the above solution.