Question

Which is equivalent to 243 ^2/5 a. 3 b.6 c.9 d.1w

Answer 1

I hope this helps you



243^2/5


(3^5)^2/5


3^5.2/5


3^2


9

Answer 2

Answer:

The correct option is c.

Step-by-step explanation:

The given expression is

$243^{\frac{2}{5}}$

According to the exponential property:

$x^{mn}=(x^{m})^n$

Using this rule we get

$243^{\frac{2}{5}}=(243^{\frac{1}{5}})^2$

$243^{\frac{2}{5}}=(3)^2$      $(243^{\frac{1}{5}}=3)$

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

The value of given expression is 9. Therefore the correct option is c.