Solve (a⁵)⁷: Simplifying Power of Power Expressions

Question

Solve the exercise:

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

Video Solution

Solution Steps

00:08 Let's solve this problem together.
00:11 We'll use the power of a power rule.
00:14 If a number, A, is raised to power N, then raised to power M,
00:20 it's the same as A raised to the power of M times N.
00:24 Let's use this formula in our exercise!
00:28 We'll multiply and find the answer.
00:31 And that's how we solve it!

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}

More Questions

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