What is (5-2)^3-(4)2+3 ?

The solution to (5-2)^3-(4)2+3 is 22

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(5-2)^3-(4)2+3

(5 - 2)^{3} - (4) 2 + 3

22

Solution steps

(5 - 2)^{3} - (4) \cdot 2 + 3

Follow the PEMDAS order of operations

Calculate within parentheses

(5 - 2) : 3

5 - 2

5 - 2 = 3

= 3

= 3^{3} - (4) \cdot 2 + 3

Calculate exponents

3^{3} : 27

3^{3}

3^{3} = 27

= 27

= 27 - (4) \cdot 2 + 3

Multiply and divide (left to right)

(4) \cdot 2 : 8

(4) \cdot 2

Apply rule:

(a) = a

(4) = 4

= 4 \cdot 2

Multiply the numbers:

4 \cdot 2 = 8

= 8

= 27 - 8 + 3

Add and subtract (left to right)

27 - 8 + 3 : 22

27 - 8 + 3

27 - 8 = 19

= 19 + 3

19 + 3 = 22

= 22

= 22

(3 + 2) (3 - 2)

4 5^{2} + 2 8^{2}

2^{3} + 2^{0}

19 - (- 7)^{2}

- 1 + 2 + 4 - 5 + 7 + 6 - 8 - 9 + 12