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

The solution to (-4)^3\div 2^3 is -8

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(-4)^3\div 2^3

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

- 8

Solution steps

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

Follow the PEMDAS order of operations

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 2^{3}

Calculate exponents

2^{3} : 8

2^{3}

2^{3} = 8

= 8

= - 64 \div 8

Multiply and divide (left to right)

- 64 \div 8 : - 8

- 64 \div 8

- 64 \div 8 = - 8

= - 8

= - 8

(\frac{3}{2} - \frac{10}{4})^{3}

8 - 4 (3) (- 2)^{3}

8 - 4 (3) (- 2)^{2}

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

\frac{- 1 - 2 ( \frac{9}{14} )}{4}