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

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

User Lex Lustor
by
8.3k points

1 Answer

2 votes

Answer:

The given expression
(a^3)/(ab^(-4)) after the negative exponents have been eliminated becomes
(a^3b^(4))/(ab^(2))

Explanation:

Given expression
(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
(a^3b^(-2))/(ab^(-4))

We have to eliminate the negative exponents,

Using property of exponents,
x^(-m)=(1)/(x^m) we have ,


b^(-2)=(1)/(b^2) \\\\b^(-4)=(1)/(b^4)

Substitute, we get,


(a^3)/(ab^(-4)) becomes
(a^3b^(4))/(ab^(2))

Thus, the given expression
(a^3)/(ab^(-4)) after the negative exponents have been eliminated becomes
(a^3b^(4))/(ab^(2))

User Quang
by
7.9k points

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