Question

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Answer 1

Explanation

• Properties of Exponent

${a}^{ \frac{m}{n} } = \sqrt[n]{ {a}^{m} }$

• Convert the expressions from radical to exponent form.

$9 \sqrt[4]{ {t}^{3} } \times 7 \sqrt[3]{ {t}^{2} } \\ 9( {t}^{ \frac{3}{4} } ) \times 7( {t}^{ \frac{2}{3} } )$

• Simplify the expression by multiplying.

$63( {t}^{ \frac{3}{4} } \times {t}^{ \frac{2}{3} } ) = 63( {t}^{ \frac{3}{4}+\frac{2}{3} } ) \\ 63( {t}^{ \frac{9}{12} + \frac{8}{12} } ) \\ 63( {t}^{ \frac{17}{12} } )

Answer

[tex] \large \boxed {63 {t}^{ \frac{17}{12} } }$