What is 6(1/2)((-1)^2(2)) ?

The solution to 6(1/2)((-1)^2(2)) is 6

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6(1/2)((-1)^2(2))

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

6

Solution steps

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

Follow the PEMDAS order of operations

Calculate within parentheses

((- 1)^{2} (2)) : 2

(- 1)^{2} (2)

Calculate exponents

(- 1)^{2} : 1

(- 1)^{2}

Apply exponent rule:

(- a)^{n} = a^{n},

n

is even

(- 1)^{2} = 1^{2} = 1

= 1

= 1 \cdot (2)

Multiply and divide (left to right)

1 \cdot (2) : 2

1 \cdot (2)

Apply rule:

(a) = a

(2) = 2

= 1 \cdot 2

Multiply the numbers:

1 \cdot 2 = 2

= 2

= 2

= 6 (\frac{1}{2}) \cdot 2

Multiply and divide (left to right)

6 (\frac{1}{2}) \cdot 2 : 6

6 (\frac{1}{2}) \cdot 2

6 (\frac{1}{2}) = 3

6 (\frac{1}{2})

Apply rule:

(a) = a

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

= 6 \cdot \frac{1}{2}

6 \cdot \frac{1}{2} = 3

6 \cdot \frac{1}{2}

Convert element to fraction:

6 = \frac{6}{1}

= \frac{6}{1} \cdot \frac{1}{2}

Apply the fraction rule:

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

= \frac{6 \cdot 1}{1 \cdot 2}

\frac{6 \cdot 1}{1 \cdot 2} = 3

\frac{6 \cdot 1}{1 \cdot 2}

\frac{6 \cdot 1}{1 \cdot 2} = \frac{6}{2}

\frac{6 \cdot 1}{1 \cdot 2}

Multiply the numbers:

6 \cdot 1 = 6

= \frac{6}{1 \cdot 2}

Multiply the numbers:

1 \cdot 2 = 2

= \frac{6}{2}

= \frac{6}{2}

Divide the numbers:

\frac{6}{2} = 3

= 3

= 3

= 3

= 3 \cdot 2

3 \cdot 2 = 6

= 6

= 6

(- 5) (7 (3 - 2) + 11) + 9 (- 1 (- 2 + 4) + 21)

- 7 + 4 + (- 2) + 8

- [98 + (- 67) - (32) + (- 12) - 5]

(- 45) + (- 2) + (- 3) + (- 4)

3^{2} - 4 \times 5 \times (- 2)