What is ((y^{-3})/(y^3))^2 ?

The solution to ((y^{-3})/(y^3))^2 is 1/(y^{12)}

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simplify ((y^{-3})/(y^3))^2

simplify

(\frac{y ^{- 3}}{y ^{3}})^{2}

\frac{1}{y ^{12}}

Solution steps

(\frac{y ^{- 3}}{y ^{3}})^{2}

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

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

Simplify

(y^{- 3})^{2} : \frac{1}{y ^{6}}

= \frac{\frac{1}{y ^{6}}}{( y ^{3} ) ^{2}}

Simplify

(y^{3})^{2} : y^{6}

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

Apply the fraction rule:

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

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

y^{6} y^{6} = y^{12}

= \frac{1}{y ^{12}}

\frac{3}{4} \cdot \frac{5}{6}

20 c^{3} + 22 c^{4}

(x + 5)^{2} = - 4

x^{2} + x z - b x - b z

n^{2} + 6 n + 8