Question

(Laws of Exponents with Whole Number Exponents MC)

Simplify (3.2)(3.22)4.

Answer 1

To simplify (3.2)(3.22)4, apply the laws of exponents by raising (3.22) to the power of 4 to get 3.21(3.28), then add the exponents of like bases to get 3.29.

Step-by-step explanation:

The student is asking to simplify the expression (3.2)(3.22)4 using the laws of exponents with whole number exponents. To simplify this, we can apply the rule that when we multiply expressions with the same base, we add the exponents. In this case, since 3.2 is the same as 3.21, we treat the multiplication as follows:

(3.21) (3.22)4

First, we raise the exponent (3.22) to the power of 4:

(3.21) (3.28)

Since 1+8 = 9, we then have 3.29.