The solution to 8^3-9*2/3 is 506

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8^3-9*2/3

Solution

8^{3} - 9 \cdot \frac{2}{3}

506

Solution steps

8^{3} - 9 \cdot \frac{2}{3}

Follow the PEMDAS order of operations

Calculate exponents

8^{3} : 512

8^{3}

8^{3} = 512

= 512

= 512 - 9 \cdot \frac{2}{3}

Multiply and divide (left to right)

9 \cdot \frac{2}{3} : 6

9 \cdot \frac{2}{3}

Convert element to fraction:

9 = \frac{9}{1}

= \frac{9}{1} \cdot \frac{2}{3}

Apply the fraction rule:

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

= \frac{9 \cdot 2}{1 \cdot 3}

Cancel

\frac{9 \cdot 2}{1 \cdot 3} : 6

\frac{9 \cdot 2}{1 \cdot 3}

Multiply the numbers:

1 \cdot 3 = 3

= \frac{9 \cdot 2}{3}

Divide the numbers:

\frac{9}{3} = 3

= 3 \cdot 2

Multiply the numbers:

3 \cdot 2 = 6

= 6

= 6

= 512 - 6

Add and subtract (left to right)

512 - 6 : 506

512 - 6

512 - 6 = 506

= 506

= 506

\frac{2.486}{8.7027}

5 \cdot 5 \cdot 5

4^{2} + 4^{2}

\frac{85}{5}

2 \cdot (9 \cdot 5 + 3^{2}) + 4