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

Asked by maham237 @ 02/12/2020 in Mathematics viewed by 589 People

a^3b^-2/ab^-4
Assume a can’t equal 0 and b can’t equal 0

Answered by maham237 @ 02/12/2020

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

Which shows the following expression using positive exponents?

Asked by maham237 @ 18/12/2020 in Mathematics viewed by 378 persons

a^3 b^-2/ ab^-4

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