Question

find 243 to the power of 2/5​

Answer 1

Answer:

9 will be the answer

Step-by-step explanation:

hope it is correct

Answer 2

Given:

243 to the power of $\frac{2}{5}$

To find:

The value of $(243)^{\frac{2}{5} }$

Solution:

We can find the value of $(243)^{\frac{2}{5} }$ using the following steps,

243 = 3 × 3 × 3 × 3 × 3

Therefore,

243 = $(3)^{5}$

$(243)^{\frac{2}{5} }$ = $((3)^{5})^{\frac{2}{5} }$

$(243)^{\frac{2}{5} }$ = $(3)^{(5)} ^{\frac{2}{5} }$

$(243)^{\frac{2}{5} }$ = $3^{2}$

$(243)^{\frac{2}{5} }$ = 9

The value of $(243)^{\frac{2}{5} }$ is 9

Final answer:

243 to the power of $\frac{2}{5}$ is equal to 9