What is simplify-5x^{-2}(ln(x))^4 ?

The solution to simplify-5x^{-2}(ln(x))^4 is -(5ln^4(x))/(x^2)

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simplify-5x^{-2}(ln(x))^4

simplify

- 5 x^{- 2} (ln (x))^{4}

- \frac{5 ln ^{4} ( x )}{x ^{2}}

Solution steps

- 5 x^{- 2} (ln (x))^{4}

Apply exponent rule:

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

= - 5 \cdot \frac{1}{x ^{2}} (ln (x))^{4}

Multiply fractions:

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

= - \frac{1 \cdot 5 ln ^{4} ( x )}{x ^{2}}

Multiply the numbers:

1 \cdot 5 = 5

= - \frac{5 ln ^{4} ( x )}{x ^{2}}

(5.6 \cdot 1 0^{- 8}) (1.4) (306)

e^{- l n (\frac{1}{( 1 - x ^{2} )})}

2 e^{- 2 \cdot 0.1 5^{2} \cdot 100}

e^{\frac{x}{2}}

- 1 arccot (\frac{x}{π})

What is simplify-5x^{-2}(ln(x))^4 ?
The solution to simplify-5x^{-2}(ln(x))^4 is -(5ln^4(x))/(x^2)