What is [(2x^3)(y^-2)]^{(-2)} ?

The solution to [(2x^3)(y^-2)]^{(-2)} is (y^2)/(16x^6)

Popular >

simplify [(2x^3)(y^-2)]^{(-2)}

simplify

[(2 x^{3}) (y^{-} 2)]^{(- 2)}

\frac{y ^{2}}{16 x ^{6}}

Solution steps

[(2 x^{3}) (y^{-} \cdot 2)]^{(- 2)}

Apply exponent rule:

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

= \frac{1}{[ 2 x ^{3} y ^{-} \cdot 2 ] ^{2}}

Multiply the numbers:

2 \cdot 2 = 4

= \frac{1}{( 4 x ^{3} y ^{-} ) ^{2}}

(4 x^{3} y^{-})^{2} = 4^{2} \cdot \frac{1}{y ^{2}} x^{6}

= \frac{1}{4 ^{2} \cdot \frac{1}{y ^{2}} x ^{6}}

Multiply

4^{2} x^{6} \frac{1}{y ^{2}} : \frac{16 x ^{6}}{y ^{2}}

= \frac{1}{\frac{16 x ^{6}}{y ^{2}}}

Apply the fraction rule:

\frac{1}{\frac{b}{c}} = \frac{c}{b}

= \frac{y ^{2}}{16 x ^{6}}

t^{2} e^{- 2 t} cos (t)

11 x (m x^{m - 1})

153.93 c m^{2} (11 c m)

\frac{x + 2}{x - 3}

(3 \cdot 1 0^{5}) (2 \cdot 1 0^{7})

What is [(2x^3)(y^-2)]^{(-2)} ?
The solution to [(2x^3)(y^-2)]^{(-2)} is (y^2)/(16x^6)