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Popular >

simplify 2(16)^{3/4}

Solution

simplify

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

Solution

16

Solution steps

2 \cdot 1 6^{\frac{3}{4}}

Factor the number:

16 = 2^{4}

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

Apply exponent rule:

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

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

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

4 \cdot \frac{3}{4} = 3

= 2 \cdot 2^{3}

2^{3} = 8

= 2 \cdot 8

Multiply the numbers:

2 \cdot 8 = 16

= 16

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Frequently Asked Questions (FAQ)

What is 2(16)^{3/4} ?
The solution to 2(16)^{3/4} is 16