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Popular >

simplify 8^{0.5}

Solution

simplify

8^{0.5}

Solution

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

+1

Decimal Notation

2.82842 \dots

Solution steps

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

Prime factorization of

8 : 2^{3}

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

Apply exponent rule:

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

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

Apply exponent rule:

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

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

Apply exponent rule:

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

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

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Frequently Asked Questions (FAQ)

What is 8^{0.5} ?
The solution to 8^{0.5} is 2*2^{1/2}