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Popular >

simplify 3^{9/2}

Solution

simplify

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

Solution

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

+1

Decimal Notation

140.29611 \dots

Solution steps

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

3^{\frac{9}{2}} = 3^{4 + \frac{1}{2}}

= 3^{4 + \frac{1}{2}}

Apply exponent rule:

x^{a + b} = x^{a} x^{b}

= 3^{4} \cdot 3^{\frac{1}{2}}

3^{4} = 81

= 81 \cdot 3^{\frac{1}{2}}

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Frequently Asked Questions (FAQ)

What is 3^{9/2} ?
The solution to 3^{9/2} is 81*3^{1/2}