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Popular >

simplify 2^{3/4}*8^{3/4}

Solution

simplify

2^{\frac{3}{4}} \cdot 8^{\frac{3}{4}}

Solution

8

Solution steps

2^{\frac{3}{4}} \cdot 8^{\frac{3}{4}}

Apply exponent rule:

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

2^{\frac{3}{4}} \cdot 8^{\frac{3}{4}} = (2 \cdot 8)^{\frac{3}{4}}

= (2 \cdot 8)^{\frac{3}{4}}

Multiply the numbers:

2 \cdot 8 = 16

= 1 6^{\frac{3}{4}}

Factor the number:

16 = 2^{4}

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

Apply exponent rule:

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

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

= 2^{3}

Refine

= 8

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Frequently Asked Questions (FAQ)

What is 2^{3/4}*8^{3/4} ?
The solution to 2^{3/4}*8^{3/4} is 8