Question

evaluate the expression.
$left(49^{\frac{1}{3}}
ight)left(49^{\frac{1}{6}}
ight)$
$left(49^{\frac{1}{3}}
ight)left(49^{\frac{1}{6}}
ight) = \square$
(simplify your answer. use integers or fractions for any numbers in

Explanation:

Step1: Apply exponent addition rule

When multiplying like bases, add exponents: $49^{\frac{1}{3} + \frac{1}{6}}$

Step2: Calculate the exponent sum

$\frac{1}{3} + \frac{1}{6} = \frac{2}{6} + \frac{1}{6} = \frac{3}{6} = \frac{1}{2}$

Step3: Simplify $49^{\frac{1}{2}}$

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

Answer:

7