Question

If m^2 = 3 then what is the value of 5m^6

a. 15
b. 30
c. 45
d. 135

Answer 1

d. 135

Explanation:

`{m}^(2) = 3...(given) \\ \therefore \: {( {m}^(2) )}^(3) = {3}^(3) \\ \therefore \: m^(6) = 27 \\ \therefore \: 5m^(6) = 27 * 5 \\ \therefore \: 5m^(6) = 135`