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

Question

$(4^x)^y=$

Video Solution

Solution Steps

00:00 Solve the following problem

00:02 When there is a power raised to a power, the shared exponent is the product of the exponents

Step-by-Step Solution

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

$(a^m)^n=a^{m\cdot n}$ We apply it in the problem:

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

Answer

$4^{xy}$

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