Question

Please help! it’s urgent

The expression 9^3/2 • 27^1/2 is equivalent to (SHOW WORK)
1) 3^2
2) 3^9/2
3) 243^2
4) 243^3/4

Answer 1

Explanation:

`{9}^{ (3)/(2) } * {27}^{ (1)/(2) } = {(3)}^{ (3)/(2) * 2 } * {(3)}^{ (1)/(2) * 3} \\ = {3}^(3) * {3}^{ (3)/(2) } \\ = {3}^{3 + (3)/(2) } \\ = {3}^{4(1)/(2) } \\ = {3}^{ (9)/(2) }`