Question

I need help with number 3 ASAP

Answer 1

Hello!

To convert fraction exponents to radical form, use the formula: $x^{\frac{m}{n} } = \sqrt[n]{x^{m} }$.

With that formula, we can convert 9^1/2 into a radical.

$9^{\frac{1}{2}$ = $\sqrt[2]{9^{1} }$ = 3

With the fraction exponent converted and simplified, we can find the value of x.

$9^{\frac{1}{2} }$ × $9^{\frac{1}{2} }$ = 3 × 3 = 9

9 = $\sqrt[x]{81}$

Using perfect squares, which are numbers multiplied by itself, the square root of 81 is 9, so therefore, x is equal to 2.

Final answer: Two