What is 4^3-24\div 3(2)+7 ?

The solution to 4^3-24\div 3(2)+7 is 55

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4^3-24\div 3(2)+7

4^{3} - 24 \div 3 (2) + 7

55

Solution steps

4^{3} - 24 \div 3 (2) + 7

Follow the PEMDAS order of operations

Calculate exponents

4^{3} : 64

4^{3}

4^{3} = 64

= 64

= 64 - 24 \div 3 (2) + 7

Multiply and divide (left to right)

24 \div 3 (2) : 16

24 \div 3 (2)

24 \div 3 = 8

= 8 (2)

8 (2) = 16

8 (2)

Apply rule:

(a) = a

(2) = 2

= 8 \cdot 2

Multiply the numbers:

8 \cdot 2 = 16

= 16

= 16

= 64 - 16 + 7

Add and subtract (left to right)

64 - 16 + 7 : 55

64 - 16 + 7

64 - 16 = 48

= 48 + 7

48 + 7 = 55

= 55

= 55

- \frac{1}{3} \cdot 56 + 112

- \frac{1}{2} (0)^{2}

\frac{- 85 - ( - 60 )}{5 ( 5 - 6 )}

5^{3} + 5^{3}

3 + 5 (7 - 2)