Question

2. Find the value of 9³/²
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Answer 1

$9 \frac{3}{2}$

$(3 ^{2} ) \frac{3}{2}$

$3 \times2 \frac{3}{2}$

$3 ^{3} = 27$

Answer 2

Answer:

27 is the value of $9^{\frac{3}{2} }$.

Step-by-step explanation:

Explanation:

Given, $9^{\frac{3}{2} }$

As we know that, 3 ×3 = $3^2$ = 9 .

So, from the above information $9^{\frac{3}{2} }$ can be written as, $(3^2)^{\frac{3}{2} }$ .

Step 1:

From the question we have, $9^{\frac{3}{2} }$.

⇒$9^{\frac{3}{2} }$ = $(3^2)^{\frac{3}{2} }$

On removing the bracket,

⇒$9^{\frac{3}{2} }$ = $3^{2.\frac{3}{2} }$ = $3^3$          [where 2 and 2 are cancel out]

⇒$9^{\frac{3}{2} }$ = 27.

Final answer:

Hence, the value of $9^{\frac{3}{2} }$ is 27 .

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