Power Rule of Exponents Practice

Question

Math 8 Q1 (Pre-Algebra) / Exponent Rules

Use the Power Rule of Exponents to simplify the expression (6^2)^4. (1 point)

Answer 1

To simplify the expression (6^2)^4 using the Power Rule of Exponents, we need to multiply the exponents together.

Starting with the inner exponent, 6^2 means 6 raised to the power of 2. This is equal to 6 * 6 = 36.

Now, we can rewrite the expression as (36)^4.

Using the Power Rule of Exponents again, we multiply the exponent 4 by the exponent 4: 36^4 = 36 * 36 * 36 * 36.

Calculating this, we find that (6^2)^4 is equal to 1,679,616.

Therefore, (6^2)^4 simplifies to 1,679,616.