Express the following in negative exponents-a 252b 2 - 32c 52-53d - - 25 - 1- - 2

a) ( 23)^2 = ( 32)^ 2 b) ( 2^ 3)^2 = ( 12^3)^2 = 2^ 6 c) 5^2×5^3 = 5^3 + 2 = 5^5 = ( 15)^ 5 d) ( ( 25)^ 1)^ 2 = #160; ( ...

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Negative Exponents

Express the f...

Question

Express the following in negative exponents.
a) ${(\frac{2}{5})}^{2}$
b) ${(2^{- 3})}^{2}$
c) $5^{2} \times 5^{3}$
d) ${[{(- \frac{2}{5})}^{- 1}]}^{- 2}$

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{(\frac{5^{- 1} \times 7^{2}}{5^{2} \times 7^{- 4}})}^{7 / 2} \times {(\frac{5^{2} \times 7^{3}}{5^{3} \times 7^{- 5}})}^{- 5 / 2}

A = ⎡ ⎢ ⎢ ⎢ ⎢ ⎢ ⎢ ⎢ ⎣ \begin{matrix} \frac{2}{3} \frac{1}{3} \frac{7}{3} \end{matrix} \begin{matrix} 1 \frac{2}{3} 2 \end{matrix} \begin{matrix} \frac{5}{3} \frac{4}{3} \frac{2}{3} \end{matrix} ⎤ ⎥ ⎥ ⎥ ⎥ ⎥ ⎥ ⎥ ⎦

B = ⎡ ⎢ ⎢ ⎢ ⎢ ⎢ ⎢ ⎢ ⎣ \begin{matrix} \frac{2}{5} \frac{1}{5} \frac{7}{5} \end{matrix} \begin{matrix} \frac{3}{5} \frac{2}{5} \frac{6}{5} \end{matrix} \begin{matrix} 1 \frac{4}{5} \frac{2}{5} \end{matrix} ⎤ ⎥ ⎥ ⎥ ⎥ ⎥ ⎥ ⎥ ⎦

3 A - 5 B

{(\frac{5}{3})}^{- 6} \times {(\frac{3^{2}}{5^{2}})}^{- 2}

{(\frac{5^{- 1} \times 7^{2}}{5^{2} \times 7^{4}})}^{\frac{7}{2}} \times {(\frac{5^{- 2} \times 7^{3}}{5^{3} \times 7^{- 5}})}^{\frac{- 5}{2}}

\frac{1}{2} + \frac{1}{x} = 2

\frac{2}{5}

\frac{5}{2}

\frac{3}{2}

\frac{2}{3}

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