What is 3/2 (4^3-2^2*3^2) ?

The solution to 3/2 (4^3-2^2*3^2) is 42

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3/2 (4^3-2^2*3^2)

\frac{3}{2} (4^{3} - 2^{2} \cdot 3^{2})

42

Solution steps

\frac{3}{2} (4^{3} - 2^{2} \cdot 3^{2})

Follow the PEMDAS order of operations

Calculate within parentheses

(4^{3} - 2^{2} \cdot 3^{2}) : 28

= \frac{3}{2} \cdot 28

Multiply and divide (left to right)

\frac{3}{2} \cdot 28 : 42

= 42

6 \times 3 - 12 - 2 + 7 - 4 \times 3

\frac{- 1}{2} - 5 \times \frac{- 3}{4}

\frac{1}{4} (2) - 2

(- 12)^{2} - 4 \times 4 \times 9

\frac{1}{2} - 8 (\frac{1}{4} + 1)