Question

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).

Answer 1

7^(9/4)

a = 7 , b = 9 and c = 4

Hope it helps

Answer 2

The answer is $a = 7, b = 9, c = 4$

Rational exponents works as follow: considering $a^{\frac{b}{c}}$, the numerator has the role of the usual, whole-number exponents, while the denominator is the order of the root we want to extract. So, again, the writing $a^{\frac{b}{c}}$ means that we want to consider the c-th root of $a^b$, i.e.

$a^{\frac{b}{c}} = \sqrt[c]{a^b}$

So, in your case, the exponent is nine over four. It means that you want to consider the fourth root of $7^9$, hence the answer.