The solution to 2/3 (3)^3 is 18

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2/3 (3)^3

Solution

\frac{2}{3} (3)^{3}

18

Solution steps

\frac{2}{3} (3)^{3}

Follow the PEMDAS order of operations

Calculate exponents

(3)^{3} : 27

(3)^{3}

(3)^{3} = 27

= 27

= \frac{2}{3} \cdot 27

Multiply and divide (left to right)

\frac{2}{3} \cdot 27 : 18

\frac{2}{3} \cdot 27

Convert element to fraction:

27 = \frac{27}{1}

= \frac{2}{3} \cdot \frac{27}{1}

Apply the fraction rule:

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

= \frac{2 \cdot 27}{3 \cdot 1}

Cancel

\frac{2 \cdot 27}{3 \cdot 1} : 18

\frac{2 \cdot 27}{3 \cdot 1}

Multiply the numbers:

3 \cdot 1 = 3

= \frac{2 \cdot 27}{3}

Divide the numbers:

\frac{27}{3} = 9

= 2 \cdot 9

Multiply the numbers:

2 \cdot 9 = 18

= 18

= 18

= 18

2 1^{2} + 2 8^{2}

[60 \div (- 5)] \div [10 \div (- 5)]

20 + [3 \cdot 4 - (17 - 3 \cdot 2^{2})] \cdot 2

3 \times (- 1) + 2

\frac{3}{2} + 4 - \frac{1}{8}