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Popular >

simplify 2(8)^{2/3}

Solution

simplify

2 (8)^{\frac{2}{3}}

Solution

8

Solution steps

2 \cdot 8^{\frac{2}{3}}

Factor the number:

8 = 2^{3}

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

Apply exponent rule:

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

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

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

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

= 2 \cdot 2^{2}

2^{2} = 4

= 2 \cdot 4

Multiply the numbers:

2 \cdot 4 = 8

= 8

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1/5 <= (1-5t)/9 < 5/9

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|(2-7x)/4 |>= 2/3

\frac{2 - 7 x}{4} \geq \frac{2}{3}

Frequently Asked Questions (FAQ)

What is 2(8)^{2/3} ?
The solution to 2(8)^{2/3} is 8