Question

2 fill in the blank 1 point if \\((x^7)^{\frac{1}{3}}\\) is rewritten as \\(sqrtb{x^a}\\), what are the values for \\(a\\) and \\(b\\)? \\(a=\\) type your answer... \\(b=\\) type your answer...

Explanation:

Step1: Apply power of a power rule

$(x^7)^{\frac{1}{3}} = x^{7 \times \frac{1}{3}} = x^{\frac{7}{3}}$

Step2: Rewrite as radical form

Recall $x^{\frac{m}{n}} = \sqrt[n]{x^m}$, so $x^{\frac{7}{3}} = \sqrt[3]{x^7}$

Answer:

a=7
b=3