simplify (5x*y^2)^3

Solution

simplify

(5 x \cdot y^{2})^{3}

125 x^{3} y^{6}

Solution steps

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

Apply exponent rule:

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

(5 x y^{2})^{3} = 5^{3} x^{3} (y^{2})^{3}

= 5^{3} x^{3} (y^{2})^{3}

5^{3} = 125

= 125 x^{3} (y^{2})^{3}

Simplify

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

= 125 x^{3} y^{6}

(2 x - 1)^{3} + (2 - 2 x)^{3}

2 x^{2} + 8 x^{5}

61.5 - 3 x + y + 6

\frac{- 6 x}{( - \frac{3}{5} )}

sin^{4} (x) - sin^{2} (cos^{2} (x))