en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 11^{1/3}*121^{1/3}

Solution

simplify

1 1^{\frac{1}{3}} \cdot 12 1^{\frac{1}{3}}

Solution

11

Solution steps

1 1^{\frac{1}{3}} \cdot 12 1^{\frac{1}{3}}

Apply exponent rule:

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

1 1^{\frac{1}{3}} \cdot 12 1^{\frac{1}{3}} = (11 \cdot 121)^{\frac{1}{3}}

= (11 \cdot 121)^{\frac{1}{3}}

Multiply the numbers:

11 \cdot 121 = 1331

= 133 1^{\frac{1}{3}}

Factor the number:

1331 = 1 1^{3}

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

Apply exponent rule:

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

(1 1^{3})^{\frac{1}{3}} = 1 1^{3 \cdot \frac{1}{3}} = 11

= 11

Popular Examples

factor x^2-4+3 factor

x^{2} - 4 + 3

- 5 (20 x) = 100

6 x^{2} - x - 15 = 0

factor n^2-4 factor

n^{2} - 4

factor t^2+t-12 factor

t^{2} + t - 12

Frequently Asked Questions (FAQ)

What is 11^{1/3}*121^{1/3} ?
The solution to 11^{1/3}*121^{1/3} is 11