What is (((y)^4)^{-1})^{-3} ?

The solution to (((y)^4)^{-1})^{-3} is y^{12}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (((y)^4)^{-1})^{-3}

simplify

(((y)^{4})^{- 1})^{- 3}

y^{12}

Solution steps

(((y)^{4})^{- 1})^{- 3}

(y^{4})^{- 1} : y^{- 4}

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

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

= \frac{1}{( y ^{- 4} ) ^{3}}

(y^{- 4})^{3} : y^{- 12}

= \frac{1}{y ^{- 12}}

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

y^{- 12} = \frac{1}{y ^{12}}

= \frac{1}{\frac{1}{y ^{12}}}

Apply the fraction rule:

\frac{1}{\frac{b}{c}} = \frac{c}{b}

= \frac{y ^{12}}{1}

Apply the fraction rule:

\frac{a}{1} = a

= y^{12}

(4 a^{2} b^{2}) \cdot (10 a^{3} b^{3} + 15 a^{2} b^{3})

2.68 \cdot 1.68 \cdot 1 0^{- 3}

4 z^{2} y^{2} a^{3}

e^{1} e^{- 4 s}