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Popular >

simplify (6^3)^{1/2}

Solution

simplify

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

Solution

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

+1

Decimal Notation

14.69693 \dots

Solution steps

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

Apply exponent rule:

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

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

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

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

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

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

Apply exponent rule:

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

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

Refine

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

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simplify 3/5*6/5 simplify

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Frequently Asked Questions (FAQ)

What is (6^3)^{1/2} ?
The solution to (6^3)^{1/2} is 6*6^{1/2}