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
Accepted Solution
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Answer:The given expression [tex]\frac{a^3}{ab^{-4}}[/tex] after the negative exponents have been eliminated becomes [tex]\frac{a^3b^{4}}{ab^{2}}[/tex]Step-by-step explanation:Given expression [tex]\frac{a^3b^{-2}}{ab^{-4}}[/tex]We have to write expression after the negative exponents have been eliminated and a ≠ 0 and b ≠ 0.Consider the given expression [tex]\frac{a^3b^{-2}}{ab^{-4}}[/tex] We have to eliminate the negative exponents,Using property of exponents, [tex]x^{-m}=\frac{1}{x^m}[/tex] we have ,[tex]b^{-2}=\frac{1}{b^2} \\\\b^{-4}=\frac{1}{b^4}[/tex]Substitute, we get, [tex]\frac{a^3}{ab^{-4}}[/tex] becomes [tex]\frac{a^3b^{4}}{ab^{2}}[/tex]Thus, the given expression [tex]\frac{a^3}{ab^{-4}}[/tex] after the negative exponents have been eliminated becomes [tex]\frac{a^3b^{4}}{ab^{2}}[/tex]