What is (2)^2(1/2)(1/3) ?

The solution to (2)^2(1/2)(1/3) is 2/3

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(2)^2(1/2)(1/3)

(2)^{2} (\frac{1}{2}) (\frac{1}{3})

\frac{2}{3}

Solution steps

(2)^{2} (\frac{1}{2}) (\frac{1}{3})

Follow the PEMDAS order of operations

Calculate exponents

(2)^{2} : 4

(2)^{2}

(2)^{2} = 4

= 4

= 4 (\frac{1}{2}) (\frac{1}{3})

Multiply and divide (left to right)

4 (\frac{1}{2}) (\frac{1}{3}) : \frac{2}{3}

4 (\frac{1}{2}) (\frac{1}{3})

4 (\frac{1}{2}) = 2

4 (\frac{1}{2})

Apply rule:

(a) = a

(\frac{1}{2}) = \frac{1}{2}

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

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

4 \cdot \frac{1}{2}

Convert element to fraction:

4 = \frac{4}{1}

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

Apply the fraction rule:

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

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

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

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

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

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

Multiply the numbers:

4 \cdot 1 = 4

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

Multiply the numbers:

1 \cdot 2 = 2

= \frac{4}{2}

= \frac{4}{2}

Divide the numbers:

\frac{4}{2} = 2

= 2

= 2

= 2

= 2 (\frac{1}{3})

2 (\frac{1}{3}) = \frac{2}{3}

2 (\frac{1}{3})

Apply rule:

(a) = a

(\frac{1}{3}) = \frac{1}{3}

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

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

2 \cdot \frac{1}{3}

Convert element to fraction:

2 = \frac{2}{1}

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

Apply the fraction rule:

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

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

Multiply the numbers:

2 \cdot 1 = 2

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

Multiply the numbers:

1 \cdot 3 = 3

= \frac{2}{3}

= \frac{2}{3}

= \frac{2}{3}

= \frac{2}{3}

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