What is (3x^{-6}y^2)^3*2x^{10}y^{-7} ?

The solution to (3x^{-6}y^2)^3*2x^{10}y^{-7} is (54)/(x^8y)

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simplify (3x^{-6}y^2)^3*2x^{10}y^{-7}

simplify

(3 x^{- 6} y^{2})^{3} \cdot 2 x^{10} y^{- 7}

\frac{54}{x ^{8} y}

Solution steps

(3 x^{- 6} y^{2})^{3} \cdot 2 x^{10} y^{- 7}

Simplify

(3 x^{- 6} y^{2})^{3} : \frac{27 y ^{6}}{x ^{18}}

= \frac{27 y ^{6}}{x ^{18}} \cdot 2 x^{10} y^{- 7}

Apply exponent rule:

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

y^{- 7} = \frac{1}{y ^{7}}

= \frac{27 y ^{6}}{x ^{18}} \cdot 2 x^{10} \frac{1}{y ^{7}}

Apply the fraction rule:

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

= \frac{27 y ^{6} \cdot 2 x ^{10} \cdot 1}{x ^{18} y ^{7}}

Multiply the numbers:

27 \cdot 2 \cdot 1 = 54

= \frac{54 y ^{6} x ^{10}}{x ^{18} y ^{7}}

Simplify

\frac{y ^{6}}{y ^{7}} : \frac{1}{y}

= \frac{54 x ^{10}}{x ^{18} y}

Simplify

\frac{x ^{10}}{x ^{18}} : \frac{1}{x ^{8}}

= \frac{54}{x ^{8} y}

5 x - 3 (x - 6) \leq 0

\frac{12 w ^{2} x ^{3} y}{6 w x ^{2} y}

135 \cdot \frac{π}{180}

k^{2} + 14 k + 48

- \frac{3}{7} \cdot (- 8)

What is (3x^{-6}y^2)^3*2x^{10}y^{-7} ?
The solution to (3x^{-6}y^2)^3*2x^{10}y^{-7} is (54)/(x^8y)