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sasho [114]
3 years ago
7

Simplify (5^1/3)^3.

Mathematics
1 answer:
pentagon [3]3 years ago
6 0

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

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