What is (3/5)^2*(0.7^{-2})^{-1} ?

The solution to (3/5)^2*(0.7^{-2})^{-1} is 441/2500

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simplify (3/5)^2*(0.7^{-2})^{-1}

simplify

(\frac{3}{5})^{2} \cdot (0. 7^{- 2})^{- 1}

\frac{441}{2500}

Decimal Notation

0.1764

Solution steps

(\frac{3}{5})^{2} (0. 7^{- 2})^{- 1}

(\frac{3}{5})^{2} = \frac{9}{25}

= \frac{9}{25} (0. 7^{- 2})^{- 1}

Apply exponent rule:

(a^{b})^{c} = a^{b c}, a \geq 0

(0. 7^{- 2})^{- 1} = 0. 7^{- 2 (- 1)}

= \frac{9}{25} \cdot 0. 7^{- 2 (- 1)}

- 2 (- 1) = 2

= \frac{9}{25} \cdot 0. 7^{2}

0. 7^{2} = 0.49

= \frac{9}{25} \cdot 0.49

0.49 = \frac{49}{100}

= \frac{9}{25} \cdot \frac{49}{100}

\frac{9}{25} \cdot \frac{49}{100} = \frac{441}{2500}

= \frac{441}{2500}

e^{- 2 x}

15 \cdot 0.15 \cdot (0.15)^{2} \cdot (0.85)^{4}

(4^{2})^{\frac{1}{3}}

e^{- 3} (3)

What is (3/5)^2*(0.7^{-2})^{-1} ?
The solution to (3/5)^2*(0.7^{-2})^{-1} is 441/2500