simplify (-5a)^3

Solution

simplify

(- 5 a)^{3}

- 125 a^{3}

Solution steps

(- 5 a)^{3}

Apply exponent rule:

(- a)^{n} = - a^{n},

n

is odd

(- 5 a)^{3} = - (5 a)^{3}

= - (5 a)^{3}

Apply exponent rule:

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

(5 a)^{3} = 5^{3} a^{3}

= - 5^{3} a^{3}

5^{3} = 125

= - 125 a^{3}

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

\frac{6 - 1 x ^{0} + 6}{6}

5 x + 8 x + 5 y - 9 y + 10 z - z

3 + 5 y - 4 y^{2} + 7 y^{3} - 7 + 2 y + 3 y^{35} - 6 y - 9 y^{3} + 2 y^{2}

1 \frac{\frac{w}{b}}{m ^{2}}