What is 4(-9)+4(-1/8) ?

The solution to 4(-9)+4(-1/8) is -73/2

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4(-9)+4(-1/8)

4 (- 9) + 4 (- \frac{1}{8})

- \frac{73}{2}

Solution steps

4 (- 9) + 4 (- \frac{1}{8})

Follow the PEMDAS order of operations

Multiply and divide (left to right)

4 (- 9) : - 36

4 (- 9)

Apply rule

a \cdot (- b) = - a \cdot b

4 (- 9) = - 4 \cdot 9 = - 36

= - 36

= - 36 + 4 (- \frac{1}{8})

Multiply and divide (left to right)

4 (- \frac{1}{8}) : - \frac{1}{2}

4 (- \frac{1}{8})

Apply rule

a \cdot (- b) = - a \cdot b

4 (- \frac{1}{8}) = - 4 \cdot \frac{1}{8}

Convert element to fraction:

4 = \frac{4}{1}

= - \frac{4}{1} \cdot \frac{1}{8}

Apply the fraction rule:

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

\frac{4}{1} \cdot \frac{1}{8} = \frac{4 \cdot 1}{1 \cdot 8}

= - \frac{4 \cdot 1}{1 \cdot 8}

\frac{4 \cdot 1}{1 \cdot 8} = \frac{1}{2}

\frac{4 \cdot 1}{1 \cdot 8}

\frac{4 \cdot 1}{1 \cdot 8} = \frac{4}{8}

\frac{4 \cdot 1}{1 \cdot 8}

Multiply the numbers:

4 \cdot 1 = 4

= \frac{4}{1 \cdot 8}

Multiply the numbers:

1 \cdot 8 = 8

= \frac{4}{8}

= \frac{4}{8}

Cancel the numbers:

\frac{4}{8} = \frac{1}{2}

= \frac{1}{2}

= - \frac{1}{2}

= - 36 - \frac{1}{2}

Add and subtract (left to right)

- 36 - \frac{1}{2} : - \frac{73}{2}

- 36 - \frac{1}{2}

- 36 - \frac{1}{2} = - \frac{73}{2}

= - \frac{73}{2}

= - \frac{73}{2}

(- 9^{4}) \div 9^{5}

5^{2} - 8^{2}

3 \times [4 - 2 \times (5 - 11)] - 18

6^{3} + 6^{3}

- 4 (2)^{2} - 3