What is 180-4^3*3/6+13 ?

The solution to 180-4^3*3/6+13 is 161

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180-4^3*3/6+13

180 - 4^{3} \cdot \frac{3}{6} + 13

161

Solution steps

180 - 4^{3} \cdot \frac{3}{6} + 13

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

Cancel the common factor:

3

\frac{1}{2}

= 180 - 4^{3} \cdot \frac{1}{2} + 13

Follow the PEMDAS order of operations

Calculate exponents

4^{3} : 64

4^{3}

4^{3} = 64

= 64

= 180 - 64 \cdot \frac{1}{2} + 13

Multiply and divide (left to right)

64 \cdot \frac{1}{2} : 32

64 \cdot \frac{1}{2}

Convert element to fraction:

64 = \frac{64}{1}

= \frac{64}{1} \cdot \frac{1}{2}

Apply the fraction rule:

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

= \frac{64 \cdot 1}{1 \cdot 2}

\frac{64 \cdot 1}{1 \cdot 2} = 32

\frac{64 \cdot 1}{1 \cdot 2}

\frac{64 \cdot 1}{1 \cdot 2} = \frac{64}{2}

\frac{64 \cdot 1}{1 \cdot 2}

Multiply the numbers:

64 \cdot 1 = 64

= \frac{64}{1 \cdot 2}

Multiply the numbers:

1 \cdot 2 = 2

= \frac{64}{2}

= \frac{64}{2}

Divide the numbers:

\frac{64}{2} = 32

= 32

= 32

= 180 - 32 + 13

Add and subtract (left to right)

180 - 32 + 13 : 161

180 - 32 + 13

180 - 32 = 148

= 148 + 13

148 + 13 = 161

= 161

= 161

3 x y z^{2}, 9 x^{2} y + 9 x^{2}

\frac{6}{2} \cdot (2 + 1)

\frac{144}{4}

1 2^{2} + 5^{2}

36 - 24