Question

evaluate 64^1\3 - 343^2\3

Answer 1

Answer: -45.

${64}^{ \frac{1}{3} } - {343}^{ \frac{2}{3} } \\ = \sqrt[3]{64} - \sqrt[3]{ {343}^{2} } \\ = \sqrt[3]{64} - \sqrt[3]{117649} \\ = (4) - (49) \\ = - 45$

Answer 2

Answer:

$64^{1/3} - 343^{2/3}$

=$\sqrt[3]{64} - \sqrt[3]{343^{2} }$

=$\sqrt[3]{2*2*2*2*2*2} - \sqrt[3]{7*7*7*7*7*7}$

=$2*2$ - 7*7

= 4-49

= -45