The solution to 1/2*2^1-4 is -3

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1/2*2^1-4

Solution

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

- 3

Solution steps

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

Follow the PEMDAS order of operations

Calculate exponents

2^{1} : 2

2^{1}

2^{1} = 2

= 2

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

Multiply and divide (left to right)

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

\frac{1}{2} \cdot 2

Convert element to fraction:

2 = \frac{2}{1}

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

Cross-cancel common factor:

2

= 1

= 1 - 4

Add and subtract (left to right)

1 - 4 : - 3

1 - 4

1 - 4 = - 3

= - 3

= - 3

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

\frac{1}{2} (1) + 1

\frac{1}{2} (1) + 2

- 34 + 45 + 67 + 8 - 5 + 233 - 4

- (- 2)^{2} - 2