Question

Which expression is equivalent to (32−−√5)13 ?

Answer 1

Answer:

the given expression is equivalent to the $3 \frac{2}{15}$

Step-by-step explanation:

The computation is shown below:

$3^2 \frac{1}{5} : 3 \frac{2}{5} \\\\(3\frac{2}{5})^\frac{1}{3}$

Now applied the exponent rule i.e. presented below:

$(a^b)^c = a^{bc}$

$= 3 \frac{2}{5} \times \frac{1}{3} \\\\\frac{2}{5} \times \frac{1}{3} \\\\= \frac{2}{15}$

$3 \frac{2}{15}$

Hence, the given expression is equivalent to the $3 \frac{2}{15}$