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Popular >

simplify (2744^2)^{1/3}

Solution

simplify

(274 4^{2})^{\frac{1}{3}}

Solution

196

Solution steps

(274 4^{2})^{\frac{1}{3}}

Apply exponent rule:

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

= 274 4^{2 \cdot \frac{1}{3}}

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

= 274 4^{\frac{2}{3}}

Factor the number:

2744 = 1 4^{3}

= (1 4^{3})^{\frac{2}{3}}

Apply exponent rule:

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

= 1 4^{3 \cdot \frac{2}{3}}

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

= 1 4^{2}

1 4^{2} = 196

= 196

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Frequently Asked Questions (FAQ)

What is (2744^2)^{1/3} ?
The solution to (2744^2)^{1/3} is 196