Solve (3^5)^4: Evaluating Nested Exponent Expression

Question

$(3^5)^4=$

Video Solution

Solution Steps

00:00 Solve

00:02 A power raised to a power equals the multiplication of exponents, and this is the solution to the question

Step-by-Step Solution

To solve the exercise we use the power property: $(a^n)^m=a^{n\cdot m}$

We use the property with our exercise and solve:

$(3^5)^4=3^{5\times4}=3^{20}$

Answer

$3^{20}$

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