Solve (a⁵)⁷: Simplifying Power of Power Expressions

Question

Solve the exercise:

(a5)7= (a^5)^7=

Video Solution

Solution Steps

00:00 Solve the following expression
00:02 According to the laws of exponents when multiplying like bases the exponents are added together
00:04 Here is the solution

Step-by-Step Solution

We use the formula:

(am)n=am×n (a^m)^n=a^{m\times n}

and therefore we obtain:

(a5)7=a5×7=a35 (a^5)^7=a^{5\times7}=a^{35}

Answer

a35 a^{35}

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Related Subjects

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

Question Types

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