Solve (a⁵)⁷: Simplifying Power of Power Expressions

Question

Solve the exercise:

$(a^5)^7=$

Video Solution

Step-by-Step Solution

We use the formula:

$(a^m)^n=a^{m\times n}$

and therefore we obtain:

$(a^5)^7=a^{5\times7}=a^{35}$

Answer

$a^{35}$

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Question Types

Power of a Power: Variable in the base of the power Power of a Power: Applying the formula Applying Combined Exponents Rules: Single Variable Applying Combined Exponents Rules: Variable in the base of the power Applying Combined Exponents Rules: Applying the formula Applying Combined Exponents Rules: A power law