en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (3x^4*y^{-5})^3

Solution

simplify

(3 x^{4} \cdot y^{- 5})^{3}

Solution

\frac{27 x ^{12}}{y ^{15}}

Solution steps

(3 x^{4} y^{- 5})^{3}

Apply exponent rule:

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

(3 x^{4} y^{- 5})^{3} = 3^{3} (x^{4})^{3} (y^{- 5})^{3}

= 3^{3} (x^{4})^{3} (y^{- 5})^{3}

3^{3} = 27

= 27 (x^{4})^{3} (y^{- 5})^{3}

Simplify

(x^{4})^{3} : x^{12}

= 27 x^{12} (y^{- 5})^{3}

Simplify

(y^{- 5})^{3} : \frac{1}{y ^{15}}

= 27 x^{12} \frac{1}{y ^{15}}

Simplify

27 x^{12} \frac{1}{y ^{15}} : \frac{27 x ^{12}}{y ^{15}}

= \frac{27 x ^{12}}{y ^{15}}

Popular Examples

simplify (sec(x)-tan(x))2 simplify

(sec (x) - tan (x)) 2

simplify (-5)(2a-3b+5c)-4(2a+6-2c)simplify

(- 5) (2 a - 3 b + 5 c) - 4 (2 a + 6 - 2 c)

simplify (2x-4)^3-(3x+5)^3 simplify

(2 x - 4)^{3} - (3 x + 5)^{3}

simplify 582x^2-9x^{2615}-3x+x+6 simplify

582 x^{2} - 9 x^{2615} - 3 x + x + 6

factor 49x^4+70x^2+25 factor

49 x^{4} + 70 x^{2} + 25

Frequently Asked Questions (FAQ)

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