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Popular >

simplify 2^{2/3}*4^{2/3}

Solution

simplify

2^{\frac{2}{3}} \cdot 4^{\frac{2}{3}}

Solution

4

Solution steps

2^{\frac{2}{3}} \cdot 4^{\frac{2}{3}}

Apply exponent rule:

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

2^{\frac{2}{3}} \cdot 4^{\frac{2}{3}} = (2 \cdot 4)^{\frac{2}{3}}

= (2 \cdot 4)^{\frac{2}{3}}

Multiply the numbers:

2 \cdot 4 = 8

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

Factor the number:

8 = 2^{3}

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

Apply exponent rule:

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

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

= 2^{2}

Refine

= 4

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Frequently Asked Questions (FAQ)

What is 2^{2/3}*4^{2/3} ?
The solution to 2^{2/3}*4^{2/3} is 4