What is (y^5)(y^3)(y^{-10}) ?

The solution to (y^5)(y^3)(y^{-10}) is 1/(y^2)

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simplify (y^5)(y^3)(y^{-10})

simplify

(y^{5}) (y^{3}) (y^{- 10})

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

Solution steps

(y^{5}) (y^{3}) (y^{- 10})

Simplify

(y^{5}) (y^{3}) (y^{- 10}) : y^{5} y^{3} y^{- 10}

= y^{5} y^{3} y^{- 10}

Apply exponent rule:

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

y^{5} y^{3} y^{- 10} = y^{5 + 3 - 10}

= y^{5 + 3 - 10}

Add/Subtract the numbers:

5 + 3 - 10 = - 2

= y^{- 2}

Apply exponent rule:

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

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

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

- 6 x y - 5 x y + 10 x y

\frac{1}{( 1 + 3 i ) ^{2}}

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

\frac{1}{5} \cdot 25

3.64 + \frac{3}{5}