What is (46-(4(3)-5)+3^2)/3 ?

The solution to (46-(4(3)-5)+3^2)/3 is 16

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(46-(4(3)-5)+3^2)/3

\frac{46 - ( 4 ( 3 ) - 5 ) + 3 ^{2}}{3}

16

Solution steps

\frac{46 - ( 4 ( 3 ) - 5 ) + 3 ^{2}}{3}

Solve

46 - (4 (3) - 5) + 3^{2} : 48

Follow the PEMDAS order of operations

Calculate within parentheses

(4 (3) - 5) : 7

4 (3) - 5

Multiply and divide (left to right)

4 (3) : 12

4 (3)

Apply rule:

(a) = a

(3) = 3

= 4 \cdot 3

Multiply the numbers:

4 \cdot 3 = 12

= 12

= 12 - 5

Add and subtract (left to right)

12 - 5 : 7

12 - 5

12 - 5 = 7

= 7

= 7

= 46 - 7 + 3^{2}

Calculate exponents

3^{2} : 9

3^{2}

3^{2} = 9

= 9

= 46 - 7 + 9

Add and subtract (left to right)

46 - 7 + 9 : 48

46 - 7 + 9

46 - 7 = 39

= 39 + 9

39 + 9 = 48

= 48

= 48

= \frac{48}{3}

Divide the numbers:

\frac{48}{3} = 16

= 16

\frac{1}{4} (4)^{1}

15 - 9 (7 - 11)

\frac{9}{3} + 2 (6) + 5

3 \times 5 + 2 \times 8 + 2

- 3^{2} + 6 (- 3) (4)