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Popular >

simplify 3/2 (9)^{1/2}

Solution

simplify

\frac{3}{2} (9)^{\frac{1}{2}}

Solution

\frac{9}{2}

+1

Decimal Notation

4.5

Solution steps

\frac{3}{2} \cdot 9^{\frac{1}{2}}

Factor the number:

9 = 3^{2}

= \frac{3}{2} (3^{2})^{\frac{1}{2}}

Apply exponent rule:

(a^{b})^{c} = a^{b c}, a \geq 0

(3^{2})^{\frac{1}{2}} = 3^{2 \cdot \frac{1}{2}}

= \frac{3}{2} \cdot 3^{2 \cdot \frac{1}{2}}

2 \cdot \frac{1}{2} = 1

= \frac{3}{2} \cdot 3^{1}

Apply exponent rule:

a^{1} = a

3^{1} = 3

= \frac{3}{2} \cdot 3

\frac{3}{2} \cdot 3 = \frac{9}{2}

= \frac{9}{2}

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Frequently Asked Questions (FAQ)

What is 3/2 (9)^{1/2} ?
The solution to 3/2 (9)^{1/2} is 9/2