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Popular >

simplify 2^{7/2}

Solution

simplify

2^{\frac{7}{2}}

Solution

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

+1

Decimal Notation

11.31370 \dots

Solution steps

2^{\frac{7}{2}}

2^{\frac{7}{2}} = 2^{3 + \frac{1}{2}}

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

Apply exponent rule:

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

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

2^{3} = 8

= 8 \cdot 2^{\frac{1}{2}}

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Frequently Asked Questions (FAQ)

What is 2^{7/2} ?
The solution to 2^{7/2} is 8*2^{1/2}