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Popular >

simplify (2^3)^{1/2}

Solution

simplify

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

Solution

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

+1

Decimal Notation

2.82842 \dots

Solution steps

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

Apply exponent rule:

(a^{b})^{c} = a^{b c}, a \geq 0

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

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

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

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

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

Apply exponent rule:

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

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

Refine

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

Popular Examples

factor-5x^4+70x^3+75x^2 factor

- 5 x^{4} + 70 x^{3} + 75 x^{2}

\frac{31}{18}

\frac{31}{24}

simplify (10m^5n^2-30mn)/(5mn)simplify

\frac{10 m ^{5} n ^{2} - 30 mn}{5 mn}

simplify 4/3*2/5 simplify

\frac{4}{3} \cdot \frac{2}{5}

Frequently Asked Questions (FAQ)

What is (2^3)^{1/2} ?
The solution to (2^3)^{1/2} is 2*2^{1/2}