What is log_{a}(2)x^{-6}*sqrt(y) ?

The solution to log_{a}(2)x^{-6}*sqrt(y) is (log_{a}(2)sqrt(y))/(x^6)

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simplify log_{a}(2)x^{-6}*sqrt(y)

simplify

lo g_{a} (2) x^{- 6} \cdot y

\frac{lo g _{a} ( 2 ) y}{x ^{6}}

Solution steps

lo g_{a} (2) x^{- 6} y

Apply exponent rule:

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

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

= lo g_{a} (2) \frac{1}{x ^{6}} y

Apply the fraction rule:

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

= \frac{lo g _{a} ( 2 ) \cdot 1 \cdot y}{x ^{6}}

Apply rule:

a \cdot 1 = a

lo g_{a} (2) \cdot 1 \cdot y = lo g_{a} (2) y

= \frac{lo g _{a} ( 2 ) y}{x ^{6}}

13

4.1 \cdot 1 0^{- 4}

5 + x \cdot 5 - x

What is log_{a}(2)x^{-6}*sqrt(y) ?
The solution to log_{a}(2)x^{-6}*sqrt(y) is (log_{a}(2)sqrt(y))/(x^6)