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Popular >

3/2*2^2

Solution

\frac{3}{2} \cdot 2^{2}

6

Solution steps

\frac{3}{2} \cdot 2^{2}

Follow the PEMDAS order of operations

Calculate exponents

2^{2} : 4

2^{2}

2^{2} = 4

= 4

= \frac{3}{2} \cdot 4

Multiply and divide (left to right)

\frac{3}{2} \cdot 4 : 6

\frac{3}{2} \cdot 4

Convert element to fraction:

4 = \frac{4}{1}

= \frac{3}{2} \cdot \frac{4}{1}

Apply the fraction rule:

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

= \frac{3 \cdot 4}{2 \cdot 1}

Cancel

\frac{3 \cdot 4}{2 \cdot 1} : 6

\frac{3 \cdot 4}{2 \cdot 1}

Multiply the numbers:

2 \cdot 1 = 2

= \frac{3 \cdot 4}{2}

Divide the numbers:

\frac{4}{2} = 2

= 3 \cdot 2

Multiply the numbers:

3 \cdot 2 = 6

= 6

= 6

= 6

3^{2} + 3 - 2

\frac{( - 2 + 1 ) ( 1 ) - 2 ( 1 )}{( - 2 + 1 ) ^{2}}

- 7 + 13 - 9

5 \times (2^{3} - 5) - 8 \times (7 - 2 \times 3)

\frac{38}{2} + 3 (8)^{2}