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Popular >

simplify 2(48/3)^{1/4}

Solution

simplify

2 (\frac{48}{3})^{\frac{1}{4}}

Solution

4

Solution steps

2 (\frac{48}{3})^{\frac{1}{4}}

Apply exponent rule:

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

(\frac{48}{3})^{\frac{1}{4}} = \frac{4 8 ^{\frac{1}{4}}}{3 ^{\frac{1}{4}}}

= 2 \cdot \frac{4 8 ^{\frac{1}{4}}}{3 ^{\frac{1}{4}}}

4 8^{\frac{1}{4}} = 2 \cdot 3^{\frac{1}{4}}

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

Cancel the common factor:

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

= 2 \cdot 2

Multiply the numbers:

2 \cdot 2 = 4

= 4

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Frequently Asked Questions (FAQ)

What is 2(48/3)^{1/4} ?
The solution to 2(48/3)^{1/4} is 4