Solve (6²)¹³: Calculating a Power of Power Expression

Question

(62)13= (6^2)^{13}=

Video Solution

Solution Steps

00:07 Let's simplify the exercise!
00:10 We're using the formula for power of a power.
00:14 For any number A, raised to the power N, and then to the power M,
00:19 we express it as A to the power of M times N.
00:24 Let's apply this formula to our exercise.
00:28 Multiply the exponents and find your answer.
00:31 And that solves our question!

Step-by-Step Solution

We use the formula:

(an)m=an×m (a^n)^m=a^{n\times m}

Therefore, we obtain:

62×13=626 6^{2\times13}=6^{26}

Answer

626 6^{26}

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