Question

Simplify the expression.

the quantity x to the one fifteenth power end quantity to the power of 5

Answer 1

Answer:

$\sqrt[3]{x}$

Step-by-step explanation:

we have

$(x^{\frac{1}{15}})^{5}$

Simplify

Multiply the exponents

$(x^{\frac{1}{15}})^{5}=x^{\frac{1}{15}*5}=x^{\frac{5}{15}}=x^{\frac{1}{3}}=\sqrt[3]{x}$

Answer 2

Answer:

$\sqrt[3]{x}$.

Step-by-step explanation:

We have been given an expression $(x^{\frac{1}{15}})^5$. We are asked to simplify our given expression.

We will use power rule of exponents $(a^b)^c=a^{b\cdot c}$ to simplify our given expression as:

$(x^{\frac{1}{15}})^5=x^{\frac{1}{15}\times 5}$

$(x^{\frac{1}{15}})^5=x^{\frac{1}{3}\times 1}$

$(x^{\frac{1}{15}})^5=x^{\frac{1}{3}}$

Using fractional exponent rule $a^{\frac{1}{n}}=\sqrt[n]{a}$, we can write our expression as:

$(x^{\frac{1}{15}})^5=\sqrt[3]{x}$

Therefore, the simplified form of our given expression would be $\sqrt[3]{x}$.