What is (5-3\times 3^2)/2 ?

The solution to (5-3\times 3^2)/2 is -11

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(5-3\times 3^2)/2

\frac{5 - 3 \cdot 3 ^{2}}{2}

- 11

Solution steps

\frac{5 - 3 \cdot 3 ^{2}}{2}

Solve

5 - 3 \cdot 3^{2} : - 22

Follow the PEMDAS order of operations

Calculate exponents

3^{2} : 9

3^{2}

3^{2} = 9

= 9

= 5 - 3 \cdot 9

Multiply and divide (left to right)

3 \cdot 9 : 27

3 \cdot 9

3 \cdot 9 = 27

= 27

= 5 - 27

Add and subtract (left to right)

5 - 27 : - 22

5 - 27

5 - 27 = - 22

= - 22

= - 22

= \frac{- 22}{2}

Simplify

\frac{- 22}{2} : - 11

Apply the fraction rule:

\frac{- a}{b} = - \frac{a}{b}

= - \frac{22}{2}

Divide the numbers:

\frac{22}{2} = 11

= - 11

= - 11

6^{2} (\frac{2}{5} + 5) - 3

[3 - (4 - 2^{3})^{2}]^{2}

43 - 15 + 44 \times 30

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

10 - 6 \times (3 - 2) + (8 + 4)