Simplify the Nested Expression: (a^4)^6 Using Power Rules

Question

(a4)6= (a^4)^6=

Video Solution

Solution Steps

00:00 Solve
00:01 When there is a power of a power, the combined exponent is the product of the exponents

Step-by-Step Solution

We use the formula

(am)n=am×n (a^m)^n=a^{m\times n}

Therefore, we obtain:

a4×6=a24 a^{4\times6}=a^{24}

Answer

a24 a^{24}

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