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Popular >

simplify 144^{1/4}

Solution

simplify

14 4^{\frac{1}{4}}

Solution

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

+1

Decimal Notation

3.46410 \dots

Solution steps

14 4^{\frac{1}{4}}

Factor the number:

144 = 1 2^{2}

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

Apply exponent rule:

(a^{b})^{c} = a^{b c}, a \geq 0

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

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

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

Prime factorization of

12 : 2^{2} \cdot 3

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

Apply exponent rule:

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

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

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

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

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

Popular Examples

∣ x - 12 ∣ \leq ∣ 4 - x ∣

factor 27x^3+72y^3 factor

27 x^{3} + 72 y^{3}

2 x^{2} + x + 6 = 0

x - 12 = 8

3 a \geq 12

Frequently Asked Questions (FAQ)

What is 144^{1/4} ?
The solution to 144^{1/4} is 2*3^{1/2}