What is (x^{-3}y^3)^{-7^'} ?

The solution to (x^{-3}y^3)^{-7^'} is (x^{3*7^'})/(y^{3*7^')}

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simplify (x^{-3}y^3)^{-7^'}

simplify

(x^{- 3} y^{3})^{- 7^{^{'}}}

\frac{x ^{3 \cdot 7^{'}}}{y ^{3 \cdot 7^{'}}}

Solution steps

(x^{- 3} y^{3})^{- 7^{^{'}}}

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

= \frac{1}{( x ^{- 3} y ^{3} ) ^{7^{^{^{'}}}}}

(x^{- 3} y^{3})^{7^{^{'}}} = \frac{y ^{3 \cdot 7^{^{'}}}}{x ^{3 \cdot 7^{^{'}}}}

= \frac{1}{\frac{y ^{3 \cdot 7^{^{^{'}}}}}{x ^{3 \cdot 7^{^{^{'}}}}}}

Apply the fraction rule:

\frac{1}{\frac{b}{c}} = \frac{c}{b}

= \frac{x ^{3 \cdot 7^{^{^{'}}}}}{y ^{3 \cdot 7^{^{^{'}}}}}

e^{- 0.007 \cdot 200}

- e^{- \frac{525}{5}}

7.055 \cdot 1 0^{- 3}

1 0^{- 10000}

100 (0. 5^{\frac{1}{32}})^{39}

What is (x^{-3}y^3)^{-7^'} ?
The solution to (x^{-3}y^3)^{-7^'} is (x^{3*7^'})/(y^{3*7^')}