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Popular >

expand (2+3)^{3/2}

Solution

expand

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

Solution

5 \cdot 5^{\frac{1}{2}}

+1

Decimal Notation

11.18033 \dots

Solution steps

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

Add the numbers:

2 + 3 = 5

= 5^{\frac{3}{2}}

5^{\frac{3}{2}} = 5^{1 + \frac{1}{2}}

= 5^{1 + \frac{1}{2}}

Apply exponent rule:

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

= 5^{1} \cdot 5^{\frac{1}{2}}

Refine

= 5 \cdot 5^{\frac{1}{2}}

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Frequently Asked Questions (FAQ)

What is expand (2+3)^{3/2} ?
The solution to expand (2+3)^{3/2} is 5*5^{1/2}