What is 1/3 \times 3^3 ?

The solution to 1/3 \times 3^3 is 9

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1/3 \times 3^3

\frac{1}{3} \cdot 3^{3}

9

Solution steps

\frac{1}{3} \cdot 3^{3}

Follow the PEMDAS order of operations

Calculate exponents

3^{3} : 27

3^{3}

3^{3} = 27

= 27

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

Multiply and divide (left to right)

\frac{1}{3} \cdot 27 : 9

\frac{1}{3} \cdot 27

Convert element to fraction:

27 = \frac{27}{1}

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

Apply the fraction rule:

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

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

\frac{1 \cdot 27}{3 \cdot 1} = 9

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

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

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

Multiply the numbers:

1 \cdot 27 = 27

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

Multiply the numbers:

3 \cdot 1 = 3

= \frac{27}{3}

= \frac{27}{3}

Divide the numbers:

\frac{27}{3} = 9

= 9

= 9

= 9

10 \div ((3 - 5) \times (2 - 4) + 10 \div (- 3 - 2))

\frac{99}{- 9 + 5 ^{2}}

2 - 3 \cdot [- 2 + 10 - 4 \cdot (- 1 + 3 \div 3) - 8] - 2

((- 8) - 6 - (- 4)) \div 5

5 - 4 \frac{3}{4} + \frac{1}{4}