What is 17.5((975)/(y^2))^{-2} ?

The solution to 17.5((975)/(y^2))^{-2} is (7y^4)/(380250)

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simplify 17.5((975)/(y^2))^{-2}

simplify

17.5 (\frac{975}{y ^{2}})^{- 2}

\frac{7 y ^{4}}{380250}

Solution steps

17.5 (\frac{975}{y ^{2}})^{- 2}

Apply exponent rule:

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

(\frac{975}{y ^{2}})^{- 2} = \frac{1}{( \frac{975}{y ^{2}} ) ^{2}}

= 17.5 \cdot \frac{1}{( \frac{975}{y ^{2}} ) ^{2}}

Simplify

(\frac{975}{y ^{2}})^{2} : \frac{950625}{y ^{4}}

= 17.5 \cdot \frac{1}{\frac{950625}{y ^{4}}}

Apply the fraction rule:

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

= 17.5 \cdot \frac{y ^{4}}{950625}

17.5 = \frac{35}{2}

= \frac{35}{2} \cdot \frac{y ^{4}}{950625}

Apply the fraction rule:

\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}

= \frac{35 y ^{4}}{2 \cdot 950625}

Cancel

\frac{35 y ^{4}}{2 \cdot 950625} : \frac{7 y ^{4}}{2 \cdot 190125}

= \frac{7 y ^{4}}{2 \cdot 190125}

Multiply the numbers:

2 \cdot 190125 = 380250

= \frac{7 y ^{4}}{380250}

(13 a^{2} b c^{3}) (6 a c^{2})

2 π x (6 e^{- x^{2}})

e^{- (3 l n (5))}

- 2 e^{- 2 (1)}

4.3657300000000 \dots \cdot 1 0^{- 19}

What is 17.5((975)/(y^2))^{-2} ?
The solution to 17.5((975)/(y^2))^{-2} is (7y^4)/(380250)