Question

Simplify (5^1/3)^3.

Answer 1

Answer:

The correct option is C. 5

Therefore,

$(5^{\frac{1}{3})^{3}\ =\ \d5$

Step-by-step explanation:

Simplify

$(5^{\dfrac{1}{3})^{3}=?$

Solution:

Using Identity

$(x^{a})^{b}=x^{(a\times b)}$

So in the given expression

$x = 5\\a=\dfrac{1}{3}\\\\b=3$

Therefore,

$(5^{\frac{1}{3})^{3}\ =\ \d5^{(\dfrac{1}{3}\times 3)}=\d5^{1}=\d5$

Therefore,

$(5^{\frac{1}{3})^{3}\ =\ \d5$