What is 180\div 360\times 4^2 ?

The solution to 180\div 360\times 4^2 is 8

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180\div 360\times 4^2

180 \div 360 \times 4^{2}

8

Solution steps

180 \div 360 \times 4^{2}

Follow the PEMDAS order of operations

Calculate exponents

4^{2} : 16

4^{2}

4^{2} = 16

= 16

= 180 \div 360 \times 16

Multiply and divide (left to right)

180 \div 360 \times 16 : 8

180 \div 360 \times 16

180 \div 360 = \frac{180}{360}

= \frac{180}{360} \times 16

\frac{180}{360} \times 16 = 8

\frac{180}{360} \cdot 16

Cancel the numbers:

\frac{180}{360} = \frac{1}{2}

= \frac{1}{2} \cdot 16

\frac{1}{2} \cdot 16 = 8

\frac{1}{2} \cdot 16

Convert element to fraction:

16 = \frac{16}{1}

= \frac{1}{2} \cdot \frac{16}{1}

Apply the fraction rule:

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

= \frac{1 \cdot 16}{2 \cdot 1}

\frac{1 \cdot 16}{2 \cdot 1} = 8

\frac{1 \cdot 16}{2 \cdot 1}

\frac{1 \cdot 16}{2 \cdot 1} = \frac{16}{2}

\frac{1 \cdot 16}{2 \cdot 1}

Multiply the numbers:

1 \cdot 16 = 16

= \frac{16}{2 \cdot 1}

Multiply the numbers:

2 \cdot 1 = 2

= \frac{16}{2}

= \frac{16}{2}

Divide the numbers:

\frac{16}{2} = 8

= 8

= 8

= 8

= 8

= 8

4 (8 - 6) + 5

\frac{( - 8 ) ^{12}}{( - 8 ) ^{3}}

3 - (3 + 2 \cdot (5 + 6 \div 3 \cdot 4))

2 4^{2} \div 12

- 12 - (32) - (- 6)