Question

simplify the radical expression. (sqrt3{343x^{15}}) write your answer in the form (a), (sqrt3{b}), or (asqrt3{b}), where (a) and (b) are constants or expressions in (x). use at most one radical in your answer, and at most one absolute value symbol in your expression for (a).

Explanation:

Step1: Find cube root of 343

$343 = 7^3$, so $\sqrt[3]{343} = 7$

Step2: Simplify $\sqrt[3]{x^{15}}$

Use exponent rule $\sqrt[3]{x^n}=x^{\frac{n}{3}}$, so $\sqrt[3]{x^{15}} = x^{\frac{15}{3}} = x^5$

Step3: Combine the results

Multiply the simplified constants and variables together.

Answer:

$7x^5$