en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (-2y^{-3}z^6)^3

Solution

simplify

(- 2 y^{- 3} z^{6})^{3}

Solution

- \frac{8 z ^{18}}{y ^{9}}

Solution steps

(- 2 y^{- 3} z^{6})^{3}

Apply exponent rule:

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

if

n

is odd

(- 2 y^{- 3} z^{6})^{3} = - (2 y^{- 3} z^{6})^{3}

= - (2 y^{- 3} z^{6})^{3}

Apply exponent rule:

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

(2 y^{- 3} z^{6})^{3} = 2^{3} (y^{- 3})^{3} (z^{6})^{3}

= - 2^{3} (y^{- 3})^{3} (z^{6})^{3}

2^{3} = 8

= - 8 (y^{- 3})^{3} (z^{6})^{3}

Simplify

(y^{- 3})^{3} : \frac{1}{y ^{9}}

= - 8 \cdot \frac{1}{y ^{9}} (z^{6})^{3}

Simplify

(z^{6})^{3} : z^{18}

= - 8 \cdot \frac{1}{y ^{9}} z^{18}

Simplify

8 \cdot \frac{1}{y ^{9}} z^{18} : \frac{8 z ^{18}}{y ^{9}}

= - \frac{8 z ^{18}}{y ^{9}}

Popular Examples

expand (2m-5n)^3 expand

(2 m - 5 n)^{3}

expand (3x+8)^5 expand

(3 x + 8)^{5}

simplify (a+b-c)^2+(a-b-c)^2-2(b-c)simplify

(a + b - c)^{2} + (a - b - c)^{2} - 2 (b - c)

factor 36j^2-100k factor

36 j^{2} - 100 k

expand (3q+b)^3 expand

(3 q + b)^{3}

Frequently Asked Questions (FAQ)

What is (-2y^{-3}z^6)^3 ?
The solution to (-2y^{-3}z^6)^3 is -(8z^{18})/(y^9)