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Popular >

simplify 32^{1/4}

Solution

simplify

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

Solution

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

+1

Solution steps

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

Prime factorization of

32 : 2^{5}

= (2^{5})^{\frac{1}{4}}

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

2^{5} = 2^{4} \cdot 2

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

Apply exponent rule:

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

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

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

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

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

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Frequently Asked Questions (FAQ)

What is 32^{1/4} ?
The solution to 32^{1/4} is 2*2^{1/4}