What is 4^3\times (-3)^3 ?

The solution to 4^3\times (-3)^3 is -1728

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4^3\times (-3)^3

4^{3} \cdot (- 3)^{3}

- 1728

Solution steps

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

Follow the PEMDAS order of operations

Calculate exponents

4^{3} : 64

4^{3}

4^{3} = 64

= 64

= 64 (- 3)^{3}

Calculate exponents

(- 3)^{3} : - 27

(- 3)^{3}

Apply exponent rule:

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

n

is odd

(- 3)^{3} = - 3^{3} = - 27

= - 27

= 64 (- 27)

Multiply and divide (left to right)

64 (- 27) : - 1728

64 (- 27)

Apply rule

a \cdot (- b) = - a \cdot b

64 (- 27) = - 64 \cdot 27 = - 1728

= - 1728

= - 1728

- 12 + (- 17) + 21

2 \cdot 3 + 5 \cdot 4

180 - 60 - 45

8 (2)^{2} - 43 (2) + 6

2 - {(- 4) + 5 - (- 2)}