Question

Use the definitions and theorems of this section to evaluate and simplify the following expression. Be sure to express answers with positive exponents. (b4)2

Answer 1

The correct answer is:

b⁸

Explanation:

(b⁴)²

When we have a power raised to a power, we multiply the exponents.  This gives us:

b⁴ˣ² = b⁸

Answer 2

The expression (b⁴)² can be written as b⁸ after using the integer exponent property.

What is integer exponent?

In mathematics, integer exponents are exponents that should be integers. It may be a positive or negative number. In this situation, the positive integer exponents determine the number of times the base number should be multiplied by itself.

The complete question is:

Use the definitions and theorems of this section to evaluate and simplify the following expression. Be sure to express answers with positive exponents (b⁴)²

It is given that:

The expression (b⁴)²

The expression can be defined as the combination of constants and variables with mathematical operators.

As we know,

$\rm (a^m)^n = a^{m\times n} =a^{mn}$

Using the above integer exponent property:

m = 4

n = 2

= (b⁴)²

mn = 4(2) = 8

= b⁸

Thus, the expression (b⁴)² can be written as b⁸ after using the integer exponent property.

Learn more about the integer exponent here:

brainly.com/question/4533599

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