What is simplify sqrt(27)x^6 ?

The solution to simplify sqrt(27)x^6 is 3sqrt(3)x^6

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Simplify square root of 27x^6

simplify

27 x^{6}

33 x^{6}

Solution steps

27 x^{6}

Prime factorization of

27 : 3^{3}

= 3^{3} x^{6}

Apply exponent rule:

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

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

= 3^{2} \cdot 3 x^{6}

Apply radical rule:

ab = a b, a \geq 0, b \geq 0

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

= 3^{2} 3 x^{6}

Apply radical rule:

a^{2} = a, a \geq 0

3^{2} = 3

= 33 x^{6}

x, \frac{3}{2} x = - 6

x, 3 x + 7 = x - 1

x, 12 5^{x} = 5

\frac{36}{16}

100 \frac{1}{4}

What is simplify sqrt(27)x^6 ?
The solution to simplify sqrt(27)x^6 is 3sqrt(3)x^6