What is (2x^{-3}yz^{-6})(2x)^{-5} ?

The solution to (2x^{-3}yz^{-6})(2x)^{-5} is y/(16x^8z^6)

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simplify (2x^{-3}yz^{-6})(2x)^{-5}

simplify

(2 x^{- 3} y z^{- 6}) (2 x)^{- 5}

\frac{y}{16 x ^{8} z ^{6}}

Solution steps

(2 x^{- 3} y z^{- 6}) (2 x)^{- 5}

Simplify

2 x^{- 3} y z^{- 6} : \frac{2 y}{x ^{3} z ^{6}}

= \frac{2 y}{x ^{3} z ^{6}} (2 x)^{- 5}

Simplify

(2 x)^{- 5} : \frac{1}{32 x ^{5}}

= \frac{2 y}{x ^{3} z ^{6}} \cdot \frac{1}{32 x ^{5}}

Apply the fraction rule:

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

= \frac{2 y \cdot 1}{x ^{3} z ^{6} \cdot 32 x ^{5}}

Multiply the numbers:

2 \cdot 1 = 2

= \frac{2 y}{x ^{3} z ^{6} \cdot 32 x ^{5}}

Factor the number:

32 = 2 \cdot 16

= \frac{2 y}{x ^{3} z ^{6} \cdot 2 \cdot 16 x ^{5}}

Cancel the common factor:

2

= \frac{y}{x ^{3} z ^{6} \cdot 16 x ^{5}}

Simplify

x^{3} x^{5} : x^{8}

= \frac{y}{x ^{8} z ^{6} \cdot 16}

= \frac{y}{16 x ^{8} z ^{6}}

15 x^{2} + 18 x

e^{(1. 1^{2} - 0. 9^{2})}

- 340 - 160

\frac{- 2}{3} \div \frac{4}{5}

\frac{m ^{5}}{m ^{3}}

What is (2x^{-3}yz^{-6})(2x)^{-5} ?
The solution to (2x^{-3}yz^{-6})(2x)^{-5} is y/(16x^8z^6)