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Yuliya22 [10]
3 years ago
6

Which answer is equivalent to 4 1/3*4 1/6? a. 16 b .6√​16 c. 2 d. 3√​4

Mathematics
1 answer:
Talja [164]3 years ago
5 0

Answer:

<h2>c. 2</h2>

Step-by-step explanation:

4^\frac{1}{3}\cdot4^\frac{1}{6}\\\\\text{use}\ a^n\cdot a^m=a^{n+m}\\\\=4^{\frac{1}{3}+\frac{1}{6}}=4^{\frac{1\cdot2}{3\cdot2}+\frac{1}{6}}=4^{\frac{2}{6}+\frac{1}{6}}=4^\frac{2+1}{6}=4^\frac{3}{6}=4^\frac{3:3}{6:3}=4^{\frac{1}{2}}\\\\\text{use}\ a^\frac{m}{n}=\sqrt[n]{a^m}\\\\=\sqrt[2]{4^1}=\sqrt4=2

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