The solution to -3/8*8^3 is -192

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-3/8*8^3

Solution

- \frac{3}{8} \cdot 8^{3}

- 192

Solution steps

- \frac{3}{8} \cdot 8^{3}

Follow the PEMDAS order of operations

Calculate exponents

8^{3} : 512

8^{3}

8^{3} = 512

= 512

= - \frac{3}{8} \cdot 512

Multiply and divide (left to right)

- \frac{3}{8} \cdot 512 : - 192

- \frac{3}{8} \cdot 512

Convert element to fraction:

512 = \frac{512}{1}

= - \frac{3}{8} \cdot \frac{512}{1}

Apply the fraction rule:

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

\frac{3}{8} \cdot \frac{512}{1} = \frac{3 \cdot 512}{8 \cdot 1}

= - \frac{3 \cdot 512}{8 \cdot 1}

Cancel

\frac{3 \cdot 512}{8 \cdot 1} : 192

\frac{3 \cdot 512}{8 \cdot 1}

Multiply the numbers:

8 \cdot 1 = 8

= \frac{3 \cdot 512}{8}

Divide the numbers:

\frac{512}{8} = 64

= 3 \cdot 64

Multiply the numbers:

3 \cdot 64 = 192

= 192

= - 192

= - 192

4 + 4 \times 9

- 5 + \frac{2}{3} - \frac{1}{6} + \frac{1}{2}

156 + (7 - 3) \times 7

- 1 - 1 (\frac{- 6}{7})

2^{6} + 2^{5} + 2^{4}