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Popular >

simplify \sqrt[3]{343^2}

Solution

simplify

Solution

49

Solution steps

Apply radical rule:

= (34 3^{2})^{\frac{1}{3}}

Apply exponent rule:

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

= 34 3^{2 \cdot \frac{1}{3}}

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

= 34 3^{\frac{2}{3}}

Factor the number:

343 = 7^{3}

= (7^{3})^{\frac{2}{3}}

Apply exponent rule:

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

(7^{3})^{\frac{2}{3}} = 7^{3 \cdot \frac{2}{3}} = 7^{2}

= 7^{2}

Refine

= 49

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- 12 < x < 12

factor 7x+49 factor

7 x + 49

simplify 1+(0.06)/4 simplify

1 + \frac{0.06}{4}

3 = c \cdot 1

Frequently Asked Questions (FAQ)

What is \sqrt[3]{343^2} ?
The solution to \sqrt[3]{343^2} is 49