The solution to 1/2*2^2-4 is -2

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1/2*2^2-4

Solution

\frac{1}{2} \cdot 2^{2} - 4

- 2

Solution steps

\frac{1}{2} \cdot 2^{2} - 4

Follow the PEMDAS order of operations

Calculate exponents

2^{2} : 4

2^{2}

2^{2} = 4

= 4

= \frac{1}{2} \cdot 4 - 4

Multiply and divide (left to right)

\frac{1}{2} \cdot 4 : 2

\frac{1}{2} \cdot 4

Convert element to fraction:

4 = \frac{4}{1}

= \frac{1}{2} \cdot \frac{4}{1}

Apply the fraction rule:

\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}

= \frac{1 \cdot 4}{2 \cdot 1}

\frac{1 \cdot 4}{2 \cdot 1} = 2

\frac{1 \cdot 4}{2 \cdot 1}

\frac{1 \cdot 4}{2 \cdot 1} = \frac{4}{2}

\frac{1 \cdot 4}{2 \cdot 1}

Multiply the numbers:

1 \cdot 4 = 4

= \frac{4}{2 \cdot 1}

Multiply the numbers:

2 \cdot 1 = 2

= \frac{4}{2}

= \frac{4}{2}

Divide the numbers:

\frac{4}{2} = 2

= 2

= 2

= 2 - 4

Add and subtract (left to right)

2 - 4 : - 2

2 - 4

2 - 4 = - 2

= - 2

= - 2

\frac{4}{6} + \frac{1}{3}

\frac{8 ^{2} - 20}{4 ( - 5 ) - 2 ( 12 )}

6^{2} + 3

2 \cdot (2 - 3) - 3

300 - 3 (5 - 2) + (6 + 1) (9 - 3) + 4 (8 + 1)