Question

Find the value of ${64}^{\frac{1}{6}}.$

• A. 2
• B. 4
• C. 1.25
• D. 8

Answer 1

The correct option is A 2

${64}^{\frac{1}{6}}=(8^2{)}^{\frac{1}{6}}=(8\times 8{)}^{\frac{1}{6}}=(2^3\times 2^3{)}^{\frac{1}{6}}=(2^6{)}^{\frac{1}{6}}=\left(2^{6\times \frac{1}{6}}\right)=2^1=2$