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Popular >

simplify 2^{1/2}*2^3

Solution

simplify

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

Solution

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

+1

Solution steps

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

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

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

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

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

= 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^{1/2}*2^3 ?
The solution to 2^{1/2}*2^3 is 8*2^{1/2}