What is -(-2)^6\div (-4)^3 ?

The solution to -(-2)^6\div (-4)^3 is 1

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

-(-2)^6\div (-4)^3

- (- 2)^{6} \div (- 4)^{3}

1

Solution steps

- (- 2)^{6} \div (- 4)^{3}

Follow the PEMDAS order of operations

Calculate exponents

(- 2)^{6} : 64

(- 2)^{6}

Apply exponent rule:

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

n

is even

(- 2)^{6} = 2^{6} = 64

= 64

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

Calculate exponents

(- 4)^{3} : - 64

(- 4)^{3}

Apply exponent rule:

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

n

is odd

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

= - 64

= - 64 \div (- 64)

Multiply and divide (left to right)

- 64 \div (- 64) : 1

- 64 \div (- 64)

Apply rule

- a \div (- b) = a \div b

- 64 \div (- 64) = 64 \div 64 = 1

= 1

= 1

4 - 2 (- 2)

0^{5} + (1^{2} - 1) 0^{4}

4 - 2 (8 - 11) + 6

- 6 - (- 15 (- 6 + 3 (- 9)) - 3)

3 (1)^{2} + 5