Question

Which shows the following expression after the negative exponents have been eliminated?

Answer 1

Answer:

The given expression  $\frac{a^3}{ab^{-4}}$ after the negative exponents have been eliminated becomes $\frac{a^3b^{4}}{ab^{2}}$

Step-by-step explanation:

Given expression $\frac{a^3b^{-2}}{ab^{-4}}$

We have to write expression after the negative exponents have been eliminated and  a ≠ 0 and b ≠ 0.

Consider the given expression $\frac{a^3b^{-2}}{ab^{-4}}$  

We have to eliminate the negative exponents,

Using  property of exponents, $x^{-m}=\frac{1}{x^m}$  we have ,

$b^{-2}=\frac{1}{b^2} \\\\b^{-4}=\frac{1}{b^4}$

Substitute, we get,

$\frac{a^3}{ab^{-4}}$ becomes  $\frac{a^3b^{4}}{ab^{2}}$

Thus, the given expression  $\frac{a^3}{ab^{-4}}$ after the negative exponents have been eliminated becomes $\frac{a^3b^{4}}{ab^{2}}$

Answer 2

Answer:

option d

Step-by-step explanation: