What is ((-1)^5(3)+5)/(-2) ?

The solution to ((-1)^5(3)+5)/(-2) is -1

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((-1)^5(3)+5)/(-2)

\frac{( - 1 ) ^{5} ( 3 ) + 5}{- 2}

- 1

Solution steps

\frac{( - 1 ) ^{5} ( 3 ) + 5}{- 2}

Solve

(- 1)^{5} (3) + 5 : 2

Follow the PEMDAS order of operations

Calculate exponents

(- 1)^{5} : - 1

(- 1)^{5}

Apply exponent rule:

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

n

is odd

(- 1)^{5} = - 1^{5} = - 1

= - 1

= - 1 \cdot (3) + 5

Multiply and divide (left to right)

- 1 \cdot (3) : - 3

- 1 \cdot (3)

Apply rule:

(a) = a

(3) = 3

= - 1 \cdot 3

Multiply the numbers:

- 1 \cdot 3 = - 3

= - 3

= - 3 + 5

Add and subtract (left to right)

- 3 + 5 : 2

- 3 + 5

- 3 + 5 = 2

= 2

= 2

= \frac{2}{- 2}

Simplify

\frac{2}{- 2} : - 1

Apply the fraction rule:

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

= - \frac{2}{2}

Apply rule

\frac{a}{a} = 1

= - 1

= - 1

(34 - 12) \div 2 + 7

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6 \div 3 + 3^{2} \times 4 - 2