Question

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Answer 1

Step-by-step explanation

• Properties of Exponent

`{a}^{ (m)/(n) } = \sqrt[n]{ {a}^(m) }`

• Convert the expressions from radical to exponent form.

`9 \sqrt[4]{ {t}^(3) } * 7 \sqrt[3]{ {t}^(2) } \\ 9( {t}^{ (3)/(4) } ) * 7( {t}^{ (2)/(3) } )`

• Simplify the expression by multiplying.

`63( {t}^{ (3)/(4) } * {t}^{ (2)/(3) } ) = 63( {t}^{ (3)/(4)+(2)/(3) } ) \\ 63( {t}^{ (9)/(12) + (8)/(12) } ) \\ 63( {t}^{ (17)/(12) } )</p><h3><strong><u>Answer</u></strong></h3><p>[tex] \large \boxed {63 {t}^{ (17)/(12) } }`