What is (-5x10^{-7})^{-2} ?

The solution to (-5x10^{-7})^{-2} is (4000000000000)/(x^2)

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simplify (-5x10^{-7})^{-2}

simplify

(- 5 x 1 0^{- 7})^{- 2}

\frac{4000000000000}{x ^{2}}

Solution steps

(- 5 x \cdot 1 0^{- 7})^{- 2}

Apply exponent rule:

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

(- 5 x \cdot 1 0^{- 7})^{- 2} = \frac{1}{( - 5 x \cdot 1 0 ^{- 7} ) ^{2}}

= \frac{1}{( - 5 x \cdot 1 0 ^{- 7} ) ^{2}}

Simplify

(- 5 x \cdot 1 0^{- 7})^{2} : \frac{x ^{2}}{4000000000000}

= \frac{1}{\frac{x ^{2}}{4000000000000}}

Apply the fraction rule:

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

= \frac{4000000000000}{x ^{2}}

\frac{( x ^{10} ) ( x ^{9} )}{( x ^{3} ) ^{4}}

3 x^{4} - 6 x^{2} \cdot a^{2} + 3 a^{4}

x + 1.2 x^{4} + 3 x^{3} + 6 x^{2} + 5 x + 6

80078 f 71 - 432 - 4 a^{4} e - b^{4} a^{2} - 24 f 67963539

\frac{1}{cot ^{2} ( x )} - \frac{1}{cos ^{2} ( x )}

What is (-5x10^{-7})^{-2} ?
The solution to (-5x10^{-7})^{-2} is (4000000000000)/(x^2)