Question

Marina correctly simplified the expression StartFraction negative 4 a Superscript negative 2 Baseline b Superscript 4 Baseline Over 8 a Superscript negative 6 Baseline b Superscript negative 3 Baseline EndFraction, assuming that a not-equals 0, b not-equals 0. Her simplified expression is below.
Negative one-half a Superscript 4 Baseline b Superscript empty box

What exponent should Marina use for b?

Answer 1

The exponent Marina should use for b is: D. 7.

How to Divide Exponents with the same Base?

When dividing, you subtract the exponents. I.e. $a^m \div a^n = a^{m - n}$.

Using the rule, we would also subtract the exponents of b in the simplified expression. Thus:

$b^4 \div b^{-3}$

Subtract the exponents

4 -(-3) = 4 + 3 = 7.

Therefore, the Maria should use the exponent b = 7.

Learn more about dividing exponents on:

brainly.com/question/2263967

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