Question

What is another expression that I can use for this problem ?
`\sqrt[c]{a ^(b) }`

Answer 1

The expression:

`7^{(9)/(4)}\text{ can be re}written\text{ once the laws of indices have b}een\text{ applied}`

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

`7^{(9)/(4)}=\sqrt[4]{7^9}`

Comparing the expression with,

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

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