What is ((y^3)(y^8))/((y^1)(y-3)) ?

The solution to ((y^3)(y^8))/((y^1)(y-3)) is (y^{10})/(y-3)

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simplify ((y^3)(y^8))/((y^1)(y-3))

simplify

\frac{( y ^{3} ) ( y ^{8} )}{( y ^{1} ) ( y - 3 )}

\frac{y ^{10}}{y - 3}

Solution steps

\frac{( y ^{3} ) ( y ^{8} )}{( y ^{1} ) ( y - 3 )}

Simplify

\frac{( y ^{3} ) ( y ^{8} )}{( y ^{1} ) ( y - 3 )} : \frac{y ^{3} y ^{8}}{y ^{1} ( y - 3 )}

= \frac{y ^{3} y ^{8}}{y ^{1} ( y - 3 )}

Apply exponent rule:

a^{1} = a

y^{1} = y

= \frac{y ^{3} y ^{8}}{y ( y - 3 )}

Apply exponent rule:

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

y^{3} = y y^{2}

= \frac{y y ^{2} y ^{8}}{y ( y - 3 )}

Cancel the common factor:

y

= \frac{y ^{2} y ^{8}}{y - 3}

Simplify

y^{2} y^{8} : y^{10}

= \frac{y ^{10}}{y - 3}

\frac{18}{5}

\frac{1}{16} \div \frac{1}{4}

99 (x y)^{2}

18 x^{6}

- \frac{9}{2} + 4

What is ((y^3)(y^8))/((y^1)(y-3)) ?
The solution to ((y^3)(y^8))/((y^1)(y-3)) is (y^{10})/(y-3)