en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ((3r^4)^4)/(-15r^4)

Solution

simplify

\frac{( 3 r ^{4} ) ^{4}}{- 15 r ^{4}}

Solution

- \frac{27 r ^{12}}{5}

Solution steps

\frac{( 3 r ^{4} ) ^{4}}{- 15 r ^{4}}

Simplify

(3 r^{4})^{4} : 3^{4} r^{16}

= \frac{3 ^{4} r ^{16}}{- 15 r ^{4}}

Factor the number:

15 = 3 \cdot 5

= \frac{3 ^{4} r ^{16}}{- 3 \cdot 5 r ^{4}}

\frac{3 ^{4}}{3} = 3^{3}

= \frac{3 ^{3} r ^{16}}{- 5 r ^{4}}

Simplify

\frac{r ^{16}}{r ^{4}} : r^{12}

= \frac{3 ^{3} r ^{12}}{- 5}

Simplify

\frac{3 ^{3} r ^{12}}{- 5} : - \frac{27 r ^{12}}{5}

= - \frac{27 r ^{12}}{5}

Popular Examples

simplify (8a)/(16a^2)simplify

\frac{8 a}{16 a ^{2}}

simplify (2x^3y^5)^5 simplify

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

simplify-3g+2f+g-4f simplify

- 3 g + 2 f + g - 4 f

simplify ((8)(-7)(6))/((-4)(-2)(-3))simplify

\frac{( 8 ) ( - 7 ) ( 6 )}{( - 4 ) ( - 2 ) ( - 3 )}

simplify 3/2 \times 3/2 simplify

\frac{3}{2} \times \frac{3}{2}

Frequently Asked Questions (FAQ)

What is ((3r^4)^4)/(-15r^4) ?
The solution to ((3r^4)^4)/(-15r^4) is -(27r^{12})/5