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Popular >

simplify 7^{1/3}*49^{1/3}

Solution

simplify

7^{\frac{1}{3}} \cdot 4 9^{\frac{1}{3}}

Solution

7

Solution steps

7^{\frac{1}{3}} \cdot 4 9^{\frac{1}{3}}

Apply exponent rule:

a^{m} b^{m} = (ab)^{m}

7^{\frac{1}{3}} \cdot 4 9^{\frac{1}{3}} = (7 \cdot 49)^{\frac{1}{3}}

= (7 \cdot 49)^{\frac{1}{3}}

Multiply the numbers:

7 \cdot 49 = 343

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

Factor the number:

343 = 7^{3}

= (7^{3})^{\frac{1}{3}}

Apply exponent rule:

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

(7^{3})^{\frac{1}{3}} = 7^{3 \cdot \frac{1}{3}} = 7

= 7

Popular Examples

simplify 2-2/5 simplify

2 - \frac{2}{5}

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2 x^{3} + 5 x^{2} + 2 x + 5

factor 27-n^3 factor

27 - n^{3}

factor 27x^3-125 factor

27 x^{3} - 125

6 ∣ 3 x + 5 ∣ \leq 14

Frequently Asked Questions (FAQ)

What is 7^{1/3}*49^{1/3} ?
The solution to 7^{1/3}*49^{1/3} is 7