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Popular >

simplify (2^{0.5})/(8^{0.5)}

Solution

simplify

\frac{2 ^{0.5}}{8 ^{0.5}}

Solution

\frac{1}{2}

+1

Decimal Notation

0.5

Solution steps

\frac{2 ^{0.5}}{8 ^{0.5}}

Apply exponent rule:

\frac{x ^{a}}{x ^{b}} = x^{a - b}

\frac{2 ^{0.5}}{8 ^{0.5}} = (\frac{2}{8})^{0.5}

= (\frac{2}{8})^{0.5}

\frac{2}{8} = \frac{1}{4}

= (\frac{1}{4})^{\frac{1}{2}}

Apply radical rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}},

assuming

a \geq 0, b \geq 0

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

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

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

Apply rule

1^{a} = 1

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

= \frac{1}{2}

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Frequently Asked Questions (FAQ)

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