simplify 192^{1/3}

Solution

simplify

19 2^{\frac{1}{3}}

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

Decimal Notation

5.76899 \dots

Solution steps

19 2^{\frac{1}{3}}

Prime factorization of

192 : 2^{6} \cdot 3

= (2^{6} \cdot 3)^{\frac{1}{3}}

Apply exponent rule:

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

(2^{6} \cdot 3)^{\frac{1}{3}} = (2^{6})^{\frac{1}{3}} \cdot 3^{\frac{1}{3}}

= (2^{6})^{\frac{1}{3}} \cdot 3^{\frac{1}{3}}

(2^{6})^{\frac{1}{3}} = 4

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

488 + (87 - x)

\frac{a ^{2} - 6 a + 9}{a ^{2} - 1} \cdot \frac{- 2 a + 2}{2 a - 6}

2 x^{3} + 3 x^{2} - 5 x - 6

\frac{100}{120}

\frac{\frac{x + y}{6}}{\frac{x ^{2} - y ^{2}}{3}}