What is (2x^{-2}y^3)^4*2x^{19}y^{-6} ?

The solution to (2x^{-2}y^3)^4*2x^{19}y^{-6} is 32y^6x^{11}

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simplify (2x^{-2}y^3)^4*2x^{19}y^{-6}

simplify

(2 x^{- 2} y^{3})^{4} \cdot 2 x^{19} y^{- 6}

32 y^{6} x^{11}

Solution steps

(2 x^{- 2} y^{3})^{4} \cdot 2 x^{19} y^{- 6}

Simplify

(2 x^{- 2} y^{3})^{4} : \frac{16 y ^{12}}{x ^{8}}

= \frac{16 y ^{12}}{x ^{8}} \cdot 2 x^{19} y^{- 6}

Apply exponent rule:

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

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

= \frac{16 y ^{12}}{x ^{8}} \cdot 2 x^{19} \frac{1}{y ^{6}}

Apply the fraction rule:

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

= \frac{16 y ^{12} \cdot 2 x ^{19} \cdot 1}{x ^{8} y ^{6}}

Multiply the numbers:

16 \cdot 2 \cdot 1 = 32

= \frac{32 y ^{12} x ^{19}}{x ^{8} y ^{6}}

Simplify

\frac{y ^{12}}{y ^{6}} : y^{6}

= \frac{32 y ^{6} x ^{19}}{x ^{8}}

Simplify

\frac{x ^{19}}{x ^{8}} : x^{11}

= 32 y^{6} x^{11}

x \cdot (100 - (\frac{1}{( 0.01 ) \cdot ( 1.01 ) ^{240}})) = 300000

\frac{20 !}{12 !}

- \frac{60}{15}

\frac{x}{5} = 4

P = - 2^{3} - 7 (- 2)^{2} + 2 (- 2) + 40

What is (2x^{-2}y^3)^4*2x^{19}y^{-6} ?
The solution to (2x^{-2}y^3)^4*2x^{19}y^{-6} is 32y^6x^{11}