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Popular >

simplify y^2*y^{-4}

Solution

simplify

y^{2} \cdot y^{- 4}

Solution

\frac{1}{y ^{2}}

Solution steps

y^{2} y^{- 4}

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

y^{2} y^{- 4} = y^{2 - 4}

= y^{2 - 4}

Subtract the numbers:

2 - 4 = - 2

= y^{- 2}

Apply exponent rule:

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

y^{- 2} = \frac{1}{y ^{2}}

= \frac{1}{y ^{2}}

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Frequently Asked Questions (FAQ)

What is y^2*y^{-4} ?
The solution to y^2*y^{-4} is 1/(y^2)