The solution to -1/2(4)^2 is -8

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-1/2(4)^2

Solution

- 1/2 (4)^{2}

- 8

Solution steps

- 1/2 (4)^{2}

Follow the PEMDAS order of operations

Calculate exponents

(4)^{2} : 16

(4)^{2}

(4)^{2} = 16

= 16

= - 1/2 \cdot 16

Multiply and divide (left to right)

- 1/2 \cdot 16 : - 8

- 1/2 \cdot 16

- 1/2 = \frac{- 1}{2}

= \frac{- 1}{2} \cdot 16

\frac{- 1}{2} 16 = - 8

\frac{- 1}{2} \cdot 16

Apply the fraction rule:

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

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

= - \frac{1}{2} \cdot 16

- \frac{1}{2} \cdot 16 = - 8

- \frac{1}{2} \cdot 16

Convert element to fraction:

16 = \frac{16}{1}

= - \frac{1}{2} \cdot \frac{16}{1}

Apply the fraction rule:

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

\frac{1}{2} \cdot \frac{16}{1} = \frac{1 \cdot 16}{2 \cdot 1}

= - \frac{1 \cdot 16}{2 \cdot 1}

\frac{1 \cdot 16}{2 \cdot 1} = 8

\frac{1 \cdot 16}{2 \cdot 1}

\frac{1 \cdot 16}{2 \cdot 1} = \frac{16}{2}

\frac{1 \cdot 16}{2 \cdot 1}

Multiply the numbers:

1 \cdot 16 = 16

= \frac{16}{2 \cdot 1}

Multiply the numbers:

2 \cdot 1 = 2

= \frac{16}{2}

= \frac{16}{2}

Divide the numbers:

\frac{16}{2} = 8

= 8

= - 8

= - 8

= - 8

= - 8

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

(4 - 7) \times (- 6 + 9)

5 \div 4 (- 3) \cdot 2 - 9 \cdot (- 4)

- 4 - 9 + 6 + 2

\frac{( 27 - 20 ) ^{2}}{20}