What is (2+6*5)/((7-3)^2) ?

The solution to (2+6*5)/((7-3)^2) is 2

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(2+6*5)/((7-3)^2)

\frac{2 + 6 \cdot 5}{( 7 - 3 ) ^{2}}

2

Solution steps

\frac{2 + 6 \cdot 5}{( 7 - 3 ) ^{2}}

Solve

2 + 6 \cdot 5 : 32

Follow the PEMDAS order of operations

Multiply and divide (left to right)

6 \cdot 5 : 30

6 \cdot 5

6 \cdot 5 = 30

= 30

= 2 + 30

Add and subtract (left to right)

2 + 30 : 32

2 + 30

2 + 30 = 32

= 32

= 32

Solve

(7 - 3)^{2} : 16

Follow the PEMDAS order of operations

Calculate within parentheses

(7 - 3) : 4

7 - 3

7 - 3 = 4

= 4

= 4^{2}

Calculate exponents

4^{2} : 16

4^{2}

4^{2} = 16

= 16

= 16

= \frac{32}{16}

Divide the numbers:

\frac{32}{16} = 2

= 2

- 2 + \frac{1}{2} + 1

5 - 12 + 6 - 4 + 9 - 1 + 14

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

- 21 + 7 (18 - 1)

11 \times 2^{2}