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2 years ago

Oh mah lord please please help me

Mathematics

1 answer:

Alenkinab [10]2 years ago

7 0

Option 2: $4^{\frac{1}{6}}$ is the correct answer.

Step-by-step explanation:

The radical expressions like these are simplified by using fractional exponents

given

$\frac{\sqrt{4}}{\sqrt[3]{4} }$

Converting radicals into exponents

When there is no base the exponent is 1/2 and as the base is 3, the exponent will be 1/3

$=\frac{4^{\frac{1}{2}}}{4^{\frac{1}{3}}}$

As the bases of numerator and denominator is same, the exponents can be subtracted

$=4^{\frac{1}{2}-\frac{1}{3}}\\=4^{\frac{3-2}{6}}\\=4^{\frac{1}{6}}$

Hence,

Option 2: $4^{\frac{1}{6}}$ is the correct answer.

Keywords: Exponents, radicals

Learn more about radicals at:

#LearnwithBrainly

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