What is (-(-0.5ac^2)^2)^3 ?

The solution to (-(-0.5ac^2)^2)^3 is -0.015625a^6c^{12}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (-(-0.5ac^2)^2)^3

simplify

(- (- 0.5 a c^{2})^{2})^{3}

- 0.015625 a^{6} c^{12}

Solution steps

(- (- 0.5 a c^{2})^{2})^{3}

Apply exponent rule:

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

n

is odd

(- (- 0.5 a c^{2})^{2})^{3} = - ((- 0.5 a c^{2})^{2})^{3}

= - ((- 0.5 a c^{2})^{2})^{3}

Apply exponent rule:

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

n

is even

(- 0.5 a c^{2})^{2} = (0.5 a c^{2})^{2}

= - ((0.5 a c^{2})^{2})^{3}

Apply exponent rule:

(a^{b})^{c} = a^{b c},

assuming

a \geq 0

((0.5 a c^{2})^{2})^{3} = (0.5 a c^{2})^{2 \cdot 3}

= - (0.5 a c^{2})^{2 \cdot 3}

Multiply the numbers:

2 \cdot 3 = 6

= - (0.5 a c^{2})^{6}

Apply exponent rule:

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

(0.5 a c^{2})^{6} = 0. 5^{6} a^{6} (c^{2})^{6}

= - 0. 5^{6} a^{6} (c^{2})^{6}

0. 5^{6} = 0.015625

= - 0.015625 a^{6} (c^{2})^{6}

Simplify

(c^{2})^{6} : c^{12}

= - 0.015625 a^{6} c^{12}

\frac{2}{x + 3} + \frac{x + 7}{x - 4}

0.96

\frac{50}{9}

(\frac{1}{2} + \frac{3}{2} i)^{3}

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

What is (-(-0.5ac^2)^2)^3 ?
The solution to (-(-0.5ac^2)^2)^3 is -0.015625a^6c^{12}