What is (2/(3^2))^{-2}*((2^2)/(3^3)) ?

The solution to (2/(3^2))^{-2}*((2^2)/(3^3)) is 3

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simplify (2/(3^2))^{-2}*((2^2)/(3^3))

simplify

(\frac{2}{3 ^{2}})^{- 2} \cdot (\frac{2 ^{2}}{3 ^{3}})

3

Solution steps

(\frac{2}{3 ^{2}})^{- 2} (\frac{2 ^{2}}{3 ^{3}})

Apply rule:

(a) = a

(\frac{2 ^{2}}{3 ^{3}}) = \frac{2 ^{2}}{3 ^{3}}

= (\frac{2}{3 ^{2}})^{- 2} \frac{2 ^{2}}{3 ^{3}}

(\frac{2}{3 ^{2}})^{- 2} = \frac{81}{4}

= \frac{81}{4} \cdot \frac{2 ^{2}}{3 ^{3}}

\frac{2 ^{2}}{3 ^{3}} = \frac{4}{27}

= \frac{81}{4} \cdot \frac{4}{27}

Cross-cancel common factor:

4

= \frac{81}{27}

Divide the numbers:

\frac{81}{27} = 3

= 3

(- 5 d + 8) (d - 3)

- \frac{3}{9}

0 \times x

(x - 20)^{2}

3 (x + 6)

What is (2/(3^2))^{-2}*((2^2)/(3^3)) ?
The solution to (2/(3^2))^{-2}*((2^2)/(3^3)) is 3