simplify (6x^3y)^2

Solution

simplify

(6 x^{3} y)^{2}

36 x^{6} y^{2}

Solution steps

(6 x^{3} y)^{2}

Apply exponent rule:

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

(6 x^{3} y)^{2} = 6^{2} (x^{3})^{2} y^{2}

= 6^{2} (x^{3})^{2} y^{2}

6^{2} = 36

= 36 (x^{3})^{2} y^{2}

Simplify

(x^{3})^{2} : x^{6}

= 36 x^{6} y^{2}

\frac{500}{1000}

60 x^{10}

\frac{1}{( n + 1 ) ^{2}} + \frac{1}{n - 1} - \frac{1}{( n - 1 ) ^{3}} - \frac{1}{n}

3 a - 8 b + 5 a - 4 c + 2 a - 11 b - 2 c

- \frac{1}{2} (- 1)