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Popular >

simplify \sqrt[2*3]{8^{2+3}}

Solution

simplify

Solution

42

+1

Decimal Notation

5.65685 \dots

Solution steps

Apply radical rule:

= (8^{2 + 3})^{\frac{1}{2 \cdot 3}}

Apply exponent rule:

(a^{b})^{c} = a^{b c}

= 8^{(2 + 3) \frac{1}{2 \cdot 3}}

(2 + 3) \frac{1}{2 \cdot 3} = \frac{5}{6}

= 8^{\frac{5}{6}}

8^{\frac{5}{6}} = 2^{\frac{5}{2}}

= 2^{\frac{5}{2}}

2^{\frac{5}{2}} = 2^{2} 2

= 2^{2} 2

2^{2} = 4

= 42

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Frequently Asked Questions (FAQ)

What is \sqrt[2*3]{8^{2+3}} ?
The solution to \sqrt[2*3]{8^{2+3}} is 4sqrt(2)