Question

Topic - Indices and Standard form

(m^2)^5\6 x m^ 1\3

the " ^ " means that the nest number is a power

Answer 1

Step-by-step explanation:

$= {( {m}^{2}) }^{ \frac{5}{6} } \times {m}^{ \frac{1}{3} } \\ = {m}^{ \frac{5}{6} \times 2} \times {m}^{ \frac{1}{3} } \\ = {m}^{ \frac{5}{3} } \times {m}^{ \frac{1}{3 } } \\ = {m}^{ \frac{5}{3} + \frac{1}{3} } \\ = {m}^{ \frac{5 + 1}{3} } \\ = {m}^{ \frac{6}{3} } \\ = {m}^{2}$