What is (s^4tu^2)(s^7t^{-1}) ?

The solution to (s^4tu^2)(s^7t^{-1}) is s^{11}u^2

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simplify (s^4tu^2)(s^7t^{-1})

simplify

(s^{4} t u^{2}) (s^{7} t^{- 1})

s^{11} u^{2}

Solution steps

(s^{4} t u^{2}) (s^{7} t^{- 1})

Simplify

s^{7} t^{- 1} : \frac{s ^{7}}{t}

= s^{4} t u^{2} \frac{s ^{7}}{t}

Cross-cancel common factor:

t

= s^{4} u^{2} s^{7}

Simplify

s^{4} s^{7} : s^{11}

= s^{11} u^{2}

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What is (s^4tu^2)(s^7t^{-1}) ?
The solution to (s^4tu^2)(s^7t^{-1}) is s^{11}u^2