en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 9(-4x^5)^2

Solution

simplify

9 (- 4 x^{5})^{2}

Solution

144 x^{10}

Solution steps

9 (- 4 x^{5})^{2}

Apply exponent rule:

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

if

n

is even

(- 4 x^{5})^{2} = (4 x^{5})^{2}

= 9 (4 x^{5})^{2}

Apply exponent rule:

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

(4 x^{5})^{2} = 4^{2} (x^{5})^{2}

= 9 \cdot 4^{2} (x^{5})^{2}

4^{2} = 16

= 9 \cdot 16 (x^{5})^{2}

Apply exponent rule:

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

assuming

a \geq 0

(x^{5})^{2} = x^{5 \cdot 2}

= 9 \cdot 16 x^{5 \cdot 2}

Multiply the numbers:

5 \cdot 2 = 10

= 9 \cdot 16 x^{10}

Multiply the numbers:

9 \cdot 16 = 144

= 144 x^{10}

Popular Examples

simplify-8*(-3)simplify

- 8 \cdot (- 3)

simplify sqrt(4x^2y^4)\sqrt[3]{27x^3y^6}simplify

expand f(4x-6)+g(9x+5)expand

f (4 x - 6) + g (9 x + 5)

simplify (2x+1)/5-(x+2)/3 simplify

\frac{2 x + 1}{5} - \frac{x + 2}{3}

expand (x+7)(3x-8)expand

(x + 7) (3 x - 8)

Frequently Asked Questions (FAQ)

What is 9(-4x^5)^2 ?
The solution to 9(-4x^5)^2 is 144x^{10}