Question

evaluate the expression.
$left(49^{\frac{1}{4}}
ight)^{-2}$
$left(49^{\frac{1}{4}}
ight)^{-2} = \square$
(simplify your answer. use integers or fractions for any numbers in the

Explanation:

Step1: Apply exponent rule $(a^m)^n=a^{m×n}$

$49^{\frac{1}{4}×(-2)} = 49^{-\frac{1}{2}}$

Step2: Rewrite negative exponent

$49^{-\frac{1}{2}} = \frac{1}{49^{\frac{1}{2}}}$

Step3: Calculate square root of 49

$49^{\frac{1}{2}} = \sqrt{49} = 7$

Step4: Compute final value

$\frac{1}{7}$

Answer:

$\frac{1}{7}$