Simplify (5^1/3)^3.
![Simplify 5133 class=](https://us-static.z-dn.net/files/d9a/2a896fc3726dda3705bc23ed804ae906.png)
Answer:
The correct option is C. 5
Therefore,
[tex](5^{\frac{1}{3})^{3}\ =\ \d5[/tex]
Step-by-step explanation:
Simplify
[tex](5^{\dfrac{1}{3})^{3}=?[/tex]
Solution:
Using Identity
[tex](x^{a})^{b}=x^{(a\times b)}[/tex]
So in the given expression
[tex]x = 5\\a=\dfrac{1}{3}\\\\b=3[/tex]
Therefore,
[tex](5^{\frac{1}{3})^{3}\ =\ \d5^{(\dfrac{1}{3}\times 3)}=\d5^{1}=\d5[/tex]
Therefore,
[tex](5^{\frac{1}{3})^{3}\ =\ \d5[/tex]