Question

Simplify the expression.

the quantity x to the two fifths power end quantity to the power of 10

Answer 1

Answer:

x^4

Step-by-step explanation:

(x^(2/5))^10 is what I understand the words to mean

x^(2/5*10)

x^(20/5)

x^4

Answer 2

Answer:

The simplified form of given expression is $x^4$.

Step-by-step explanation:

The given expression is

$(x^\frac{2}{5})^{10}$

According to the power of power property of exponent, if x, a and b are any real number, then

$(x^a)^b=x^{ab}$

Using power of power property of exponent, the given expression can be written as

$(x^\frac{2}{5})^{10}=x^{\frac{2}{5}\times 10}$

$(x^\frac{2}{5})^{10}=x^{\frac{20}{5}}$

$(x^\frac{2}{5})^{10}=x^{4}$

Therefore the simplified form of given expression is $x^4$.