Respuesta :

The expression:

[tex]7^{\frac{9}{4}}\text{ can be re}written\text{ once the laws of indices have b}een\text{ applied}[/tex]

Applying the fractional laws of indices, where the denominator becomes a root and the numerator an index.

[tex]7^{\frac{9}{4}}=\sqrt[4]{7^9}[/tex]

Comparing the expression with,

[tex]\begin{gathered} \sqrt[c]{a^b}\text{ } \\ \therefore\text{ }\sqrt[4]{7^9}\text{ =}\sqrt[c]{a^b} \end{gathered}[/tex]

Hence, a = 7, b = 9, c = 4

RELAXING NOICE
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