What is ((-4)^6)/((-4)^3) ?

The solution to ((-4)^6)/((-4)^3) is -64

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

((-4)^6)/((-4)^3)

\frac{( - 4 ) ^{6}}{( - 4 ) ^{3}}

- 64

Solution steps

\frac{( - 4 ) ^{6}}{( - 4 ) ^{3}}

Solve

(- 4)^{6} : 4096

Apply exponent rule:

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

n

is even

(- 4)^{6} = 4^{6} = 4096

= 4096

Solve

(- 4)^{3} : - 64

Follow the PEMDAS order of operations

Apply exponent rule:

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

n

is odd

(- 4)^{3} = - 4^{3} = - 64

= - 64

= \frac{4096}{- 64}

Simplify

\frac{4096}{- 64} : - 64

Apply the fraction rule:

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

= - \frac{4096}{64}

Divide the numbers:

\frac{4096}{64} = 64

= - 64

= - 64

- 4 (2 \times (- 18)) - (- 18)

(7 + 8) + (5 + 9)

3 (- 3)^{2} - 2 (- 3)

- 2 (3)^{2} - 3

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