What is 4^2*2-30*2/6+4*3 ?

The solution to 4^2*2-30*2/6+4*3 is 34

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4^22-302/6+4*3

4^{2} \cdot 2 - 30 \cdot \frac{2}{6} + 4 \cdot 3

34

Solution steps

4^{2} \cdot 2 - 30 \cdot \frac{2}{6} + 4 \cdot 3

\frac{2}{6} = \frac{1}{3}

Cancel the common factor:

2

\frac{1}{3}

= 4^{2} \cdot 2 - 30 \cdot \frac{1}{3} + 4 \cdot 3

Follow the PEMDAS order of operations

Calculate exponents

4^{2} : 16

4^{2}

4^{2} = 16

= 16

= 16 \cdot 2 - 30 \cdot \frac{1}{3} + 4 \cdot 3

Multiply and divide (left to right)

16 \cdot 2 : 32

16 \cdot 2

16 \cdot 2 = 32

= 32

= 32 - 30 \cdot \frac{1}{3} + 4 \cdot 3

Multiply and divide (left to right)

30 \cdot \frac{1}{3} : 10

30 \cdot \frac{1}{3}

Convert element to fraction:

30 = \frac{30}{1}

= \frac{30}{1} \cdot \frac{1}{3}

Apply the fraction rule:

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

= \frac{30 \cdot 1}{1 \cdot 3}

\frac{30 \cdot 1}{1 \cdot 3} = 10

\frac{30 \cdot 1}{1 \cdot 3}

\frac{30 \cdot 1}{1 \cdot 3} = \frac{30}{3}

\frac{30 \cdot 1}{1 \cdot 3}

Multiply the numbers:

30 \cdot 1 = 30

= \frac{30}{1 \cdot 3}

Multiply the numbers:

1 \cdot 3 = 3

= \frac{30}{3}

= \frac{30}{3}

Divide the numbers:

\frac{30}{3} = 10

= 10

= 10

= 32 - 10 + 4 \cdot 3

Multiply and divide (left to right)

4 \cdot 3 : 12

4 \cdot 3

4 \cdot 3 = 12

= 12

= 32 - 10 + 12

Add and subtract (left to right)

32 - 10 + 12 : 34

32 - 10 + 12

32 - 10 = 22

= 22 + 12

22 + 12 = 34

= 34

= 34

\frac{900}{4}

8^{2} - \frac{16}{2 ^{2}} \cdot 4 - 3

(17 - 3) \cdot (14 - 6) - 22

0.5 \cdot 4

1 + 23 + 2 + 3