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Popular >

simplify (27)^{1/3}

Solution

simplify

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

Solution

3

Solution steps

2 7^{\frac{1}{3}}

Factor the number:

27 = 3^{3}

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

Apply exponent rule:

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

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

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

= 3^{1}

Apply exponent rule:

a^{1} = a

= 3

Popular Examples

factor 25-49x^2 factor

25 - 49 x^{2}

(y - 3)^{2} = 2 y - 10

factor a^2x^2-3bx^2+a^2y^2-3by^2 factor

a^{2} x^{2} - 3 b x^{2} + a^{2} y^{2} - 3 b y^{2}

-x+2>3\land 1+2x<=-5

- x + 2 > 3 and 1 + 2 x \leq - 5

4.6 > 1.2 + 1.7 x

Frequently Asked Questions (FAQ)

What is (27)^{1/3} ?
The solution to (27)^{1/3} is 3