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Popular >

simplify 16^{2/3}

Solution

simplify

1 6^{\frac{2}{3}}

Solution

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

+1

Decimal

6.34960 \dots

Solution steps

1 6^{\frac{2}{3}}

Prime factorization of

16 : 2^{4}

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

Apply exponent rule:

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

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

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

Apply exponent rule:

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

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

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

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

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

Popular Examples

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\frac{0.799}{2.95} \cdot 230.3

3 y^{2} - 6 = - 7 y

(11a+5)(6a-18)=0

(11 a + 5) (6 a - 18) = 0

simplify-(1/4)^4 simplify

- (\frac{1}{4})^{4}

factor 54x^3y-16y^4 factor

54 x^{3} y - 16 y^{4}

Frequently Asked Questions (FAQ)

What is 16^{2/3} ?
The solution to 16^{2/3} is 4*2^{2/3}