What is 1000^{2/3}64000^{1/3} ?

The solution to 1000^{2/3}64000^{1/3} is 4000

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simplify 1000^{2/3}64000^{1/3}

simplify

100 0^{\frac{2}{3}} 6400 0^{\frac{1}{3}}

4000

Solution steps

100 0^{\frac{2}{3}} \cdot 6400 0^{\frac{1}{3}}

100 0^{\frac{2}{3}} = 100

= 100 \cdot 6400 0^{\frac{1}{3}}

Factor the number:

64000 = 4 0^{3}

= 100 (4 0^{3})^{\frac{1}{3}}

Apply exponent rule:

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

(4 0^{3})^{\frac{1}{3}} = 4 0^{3 \cdot \frac{1}{3}}

= 100 \cdot 4 0^{3 \cdot \frac{1}{3}}

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

= 100 \cdot 4 0^{1}

Apply exponent rule:

a^{1} = a

4 0^{1} = 40

= 100 \cdot 40

Multiply the numbers:

100 \cdot 40 = 4000

= 4000

- 2 x + 7 \leq 37

x - 9 = 1

\frac{6}{2 - 1}

72 \cdot (2 - x - 2)^{2} = \frac{x}{18}

105 \cdot \frac{π}{180}