What is 12^{1/3}*45^{1/3}*50^{1/3} ?

The solution to 12^{1/3}*45^{1/3}*50^{1/3} is 30

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simplify 12^{1/3}45^{1/3}50^{1/3}

simplify

1 2^{\frac{1}{3}} \cdot 4 5^{\frac{1}{3}} \cdot 5 0^{\frac{1}{3}}

30

Solution steps

1 2^{\frac{1}{3}} \cdot 4 5^{\frac{1}{3}} \cdot 5 0^{\frac{1}{3}}

Apply exponent rule:

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

1 2^{\frac{1}{3}} \cdot 4 5^{\frac{1}{3}} \cdot 5 0^{\frac{1}{3}} = (12 \cdot 45 \cdot 50)^{\frac{1}{3}}

= (12 \cdot 45 \cdot 50)^{\frac{1}{3}}

Multiply the numbers:

12 \cdot 45 \cdot 50 = 27000

= 2700 0^{\frac{1}{3}}

Factor the number:

27000 = 3 0^{3}

= (3 0^{3})^{\frac{1}{3}}

Apply exponent rule:

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

(3 0^{3})^{\frac{1}{3}} = 3 0^{3 \cdot \frac{1}{3}} = 30

= 30

x (2 x - 12) (6 x - 54) \geq 0

4 \leq x \frac{1}{2} \leq 9

2 x^{3} - 250

\frac{22}{3} + \frac{2}{3}

- 3 u + 11 = - 8 u + 51

What is 12^{1/3}*45^{1/3}*50^{1/3} ?
The solution to 12^{1/3}*45^{1/3}*50^{1/3} is 30