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

Step-by-step explanation:

${9}^{ \frac{3}{2} } \times {27}^{ \frac{1}{2} } = {(3)}^{ \frac{3}{2} \times 2 } \times {(3)}^{ \frac{1}{2} \times 3} \\ = {3}^{3} \times {3}^{ \frac{3}{2} } \\ = {3}^{3 + \frac{3}{2} } \\ = {3}^{4\frac{1}{2} } \\ = {3}^{ \frac{9}{2} }$