What is simplify sqrt(54)x^7 ?

The solution to simplify sqrt(54)x^7 is 3sqrt(6)x^7

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Simplify square root of 54x^7

simplify

54 x^{7}

36 x^{7}

Solution steps

54 x^{7}

Prime factorization of

54 : 2 \cdot 3^{3}

= 2 \cdot 3^{3} x^{7}

Apply exponent rule:

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

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

= 2 \cdot 3^{2} \cdot 3 x^{7}

Apply radical rule:

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

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

= 3^{2} 2 \cdot 3 x^{7}

Apply radical rule:

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

3^{2} = 3

= 3 2 \cdot 3 x^{7}

Multiply the numbers:

2 \cdot 3 = 6

= 36 x^{7}

0.01%

0.2%

\frac{81}{64}

69.1%

257%

What is simplify sqrt(54)x^7 ?
The solution to simplify sqrt(54)x^7 is 3sqrt(6)x^7