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Popular >

simplify 48^{1/4}

Solution

simplify

4 8^{\frac{1}{4}}

Solution

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

+1

Solution steps

4 8^{\frac{1}{4}}

Prime factorization of

48 : 2^{4} \cdot 3

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

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

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

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

(2^{4})^{\frac{1}{4}} = 2

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

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Frequently Asked Questions (FAQ)

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