What is simplify-1/2 x^{-2}*ln(x) ?

The solution to simplify-1/2 x^{-2}*ln(x) is -(ln(x))/(2x^2)

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simplify-1/2 x^{-2}*ln(x)

simplify

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

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

Solution steps

- \frac{1}{2} x^{- 2} ln (x)

Apply exponent rule:

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

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

Multiply fractions:

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

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

Multiply:

1 \cdot 1 \cdot ln (x) = ln (x)

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

(x - 5 y + 2)^{2} \cdot (x + 5 y - 2)^{2}

71.7 \cdot 3600 \cdot 1 0^{- 5}

3.67 x 1 0^{- 1}

6.82 \cdot 1 0^{- 5}

60000 (1.008)^{- 1}

What is simplify-1/2 x^{-2}*ln(x) ?
The solution to simplify-1/2 x^{-2}*ln(x) is -(ln(x))/(2x^2)