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Popular >

simplify 3\sqrt[x]{27}

Solution

simplify

3 x 27

Solution

3^{1 + \frac{3}{x}}

Solution steps

3 x 27

Factor integer

27 = 3^{3}

= 3 x 3^{3}

Apply exponent rule:

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

(3^{3})^{\frac{1}{x}} = 3^{3 \cdot \frac{1}{x}}

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

Refine

= 3 \cdot 3^{\frac{3}{x}}

Apply exponent rule:

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

3 \cdot 3^{\frac{3}{x}} = 3^{1 + \frac{3}{x}}

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

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Frequently Asked Questions (FAQ)

What is 3\sqrt[x]{27} ?
The solution to 3\sqrt[x]{27} is 3^{1+3/x}