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

Question

(35)4= (3^5)^4=

Video Solution

Solution Steps

00:07 Let's simplify.
00:10 We will use the formula for power of a power.
00:13 When we have a number, A, raised to the power of N, and then to the power of M.
00:20 We write the base, A, to the power of the product of the exponents, M times N.
00:27 We'll use this formula in our exercise now.
00:31 We'll multiply the powers and find the answer.
00:34 And that's how we solve this question!

Step-by-Step Solution

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

We use the property with our exercise and solve:

(35)4=35×4=320 (3^5)^4=3^{5\times4}=3^{20}

Answer

320 3^{20}

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: Monomial Power of a Power: Applying the formula