Question

Simplify the following. Write answers without negative exponnents. (4x^2 y^-3)^-2

Exponents and radicals
ANSWERED
asked 2020-12-25
Simplify the following. Write answers without negative exponnents. \(\displaystyle{\left({4}{x}^{{2}}{y}^{{-{{3}}}}\right)}^{{-{{2}}}}\)

Answers (1)

2020-12-26

\(\displaystyle{\left({4}{x}^{{2}}{y}^{{-{{3}}}}\right)}^{{-{{2}}}}\)
\(\displaystyle=\frac{{1}}{{\left({4}{x}^{{2}}{y}^{{-{{3}}}}\right)}^{{2}}}\)
\(\displaystyle=\frac{{1}}{{{\left({4}{x}^{{2}}{y}^{{-{{3}}}}\right)}{\left[{\left({4}{x}^{{2}}{y}^{{-{{3}}}}\right)}\right]}}}\)
\(\displaystyle=\frac{{1}}{{{\left({16}{x}^{{4}}\right)}{\left({y}^{{-{{6}}}}\right)}}}\)
\(\displaystyle=\frac{{y}^{{6}}}{{{16}{x}^{{4}}}}\)

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