What is sqrt(8)^{1/3} ?

The solution to sqrt(8)^{1/3} is 2^{1/2}

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simplify sqrt(8)^{1/3}

simplify

8^{\frac{1}{3}}

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

Decimal Notation

1.41421 \dots

Solution steps

(8)^{\frac{1}{3}}

8 = 22

= (22)^{\frac{1}{3}}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

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

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

(2)^{\frac{1}{3}} = 2^{\frac{1}{6}}

= 2^{\frac{1}{3}} \cdot 2^{\frac{1}{6}}

Apply exponent rule:

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

2^{\frac{1}{3}} \cdot 2^{\frac{1}{6}} = 2^{\frac{1}{3} + \frac{1}{6}}

= 2^{\frac{1}{3} + \frac{1}{6}}

Join

\frac{1}{3} + \frac{1}{6} : \frac{1}{2}

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

\frac{- 33}{3}

9.9 \cdot 1 0^{- 3}

(5.45 \cdot 1 0^{14}) (6.626 \cdot 1 0^{- 34})

e^{- 2.125} \cdot e^{2.216 \cdot 250}

e^{- a t} sin (ω) t u (t)