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

Question

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

Video Solution

Solution Steps

00:00 Solve
00:02 When there is a power of 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:

(am)n=am⋅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.

Answer

4xy 4^{xy}

More Questions

Related Subjects

Exponents and Exponent rules Rules of Exponentiation Combining Powers and Roots Properties of Exponents Power of a Power

Question Types

Power of a Power: Variables in the exponent of the power Applying Combined Exponents Rules: Variables in the exponent of the power