Power Rule of Exponents Practice

Math 8 Q1 (Pre-Algebra) / Exponent Rules

Use the Power Rule of Exponents to simplify the expression (73^4)5.(1 point)

To simplify the expression using the Power Rule of Exponents, we need to multiply the exponents.

(73^4)5
= 73^(4*5)
= 73^20

To simplify the expression (73^4)^5 using the Power Rule of Exponents, we need to multiply the exponents.

First, let's simplify the base: 73^4

To do this, we need to multiply 73 by itself four times: 73 * 73 * 73 * 73.

Calculating this, we get 2,087,328.

Now, let's simplify the expression: (2,087,328)^5

To do this, we need to multiply 2,087,328 by itself five times: 2,087,328 * 2,087,328 * 2,087,328 * 2,087,328 * 2,087,328.

Calculating this, we get an extremely large number: 618780487709353676384.

Therefore, the simplified expression is (73^4)^5 = 618780487709353676384.