Question

What integer is equivalent to 9^3/2

Answer 1

$9^{\frac{3}{2}}$ is equivalent to: $\sqrt{9^{3}}$
$\sqrt{9^{3}}$
$=9 \cdot \sqrt{9}$
$=9 \cdot 3 = 27$

Hence, $9^{\frac{3}{2}} = 27$

Answer 2

Answer:

The given expression $9^{\frac{3}{2}}$ is equivalent to integer 27.

Step-by-step explanation:

  Given: Expression $9^{\frac{3}{2}}$

WE have to find an integer that is equivalent to given expression $9^{\frac{3}{2}}$          

Consider the given expression $9^{\frac{3}{2}}$

Since,  $9^{\frac{3}{2}}$ is same as writing $\sqrt[2]{9^3}$

Which is same as $\sqrt[2]{9^2\cdot 9}=9\sqrt[2]{9}$

Also, we know $\sqrt[2]{9}=\sqrt[2]{3\cdot 3}=3$

Thus, $9^{\frac{3}{2}}=9\cdot 3=27$

Thus, The given expression $9^{\frac{3}{2}}$ is equivalent to integer 27.