What is (6x^{-4})(x^{-2}ln(x)) ?

The solution to (6x^{-4})(x^{-2}ln(x)) is (6ln(x))/(x^6)

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simplify (6x^{-4})(x^{-2}ln(x))

simplify

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

\frac{6 ln ( x )}{x ^{6}}

Solution steps

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

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

x^{- 4} x^{- 2} = x^{- 4 - 2}

= 6 x^{- 4 - 2} ln (x)

Subtract the numbers:

- 4 - 2 = - 6

= 6 x^{- 6} ln (x)

Apply exponent rule:

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

x^{- 6} = \frac{1}{x ^{6}}

= 6 \cdot \frac{1}{x ^{6}} ln (x)

Multiply fractions:

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

= \frac{1 \cdot 6 ln ( x )}{x ^{6}}

Multiply the numbers:

1 \cdot 6 = 6

= \frac{6 ln ( x )}{x ^{6}}

2.68 x 1 0^{- 6}

2 x + 1 \cdot e x + 1

(M L^{- 3}) (L^{2} t^{- 2})

[(- 24)^{5}]^{7}

8^{- 5} 0. 8^{9}

What is (6x^{-4})(x^{-2}ln(x)) ?
The solution to (6x^{-4})(x^{-2}ln(x)) is (6ln(x))/(x^6)