Simplify (4^x)^y: Solving Double Exponent Expressions

(4x)y= (4^x)^y=

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1

Understand the problem

(4x)y= (4^x)^y=

2

Step-by-step solution

Using the law of powers for an exponent raised to another exponent:

(am)n=amā‹…n (a^m)^n=a^{m\cdot n} We apply it in the problem:

(4x)y=4xy (4^x)^y=4^{xy} Therefore, the correct answer is option a.

3

Final Answer

4xy 4^{xy}

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\( 112^0=\text{?} \)

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