What is (8+4*7)/((9-6)^2) ?

The solution to (8+4*7)/((9-6)^2) is 4

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(8+4*7)/((9-6)^2)

\frac{8 + 4 \cdot 7}{( 9 - 6 ) ^{2}}

4

Solution steps

\frac{8 + 4 \cdot 7}{( 9 - 6 ) ^{2}}

Solve

8 + 4 \cdot 7 : 36

Follow the PEMDAS order of operations

Multiply and divide (left to right)

4 \cdot 7 : 28

4 \cdot 7

4 \cdot 7 = 28

= 28

= 8 + 28

Add and subtract (left to right)

8 + 28 : 36

8 + 28

8 + 28 = 36

= 36

= 36

Solve

(9 - 6)^{2} : 9

Follow the PEMDAS order of operations

Calculate within parentheses

(9 - 6) : 3

9 - 6

9 - 6 = 3

= 3

= 3^{2}

Calculate exponents

3^{2} : 9

3^{2}

3^{2} = 9

= 9

= 9

= \frac{36}{9}

Divide the numbers:

\frac{36}{9} = 4

= 4

\frac{1}{2} + 2 - \frac{3}{4}

- \frac{4}{3} + 6 - \frac{1}{2}

\frac{32}{3} - 16 + \frac{32}{5}

2 (3)^{2} - 3 (2)^{2} + 3

- 1 + \frac{3}{4} - \frac{1}{3}