What is (135)/([5(7-4)^2]) ?

The solution to (135)/([5(7-4)^2]) is 3

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(135)/([5(7-4)^2])

\frac{135}{[ 5 ( 7 - 4 ) ^{2} ]}

3

Solution steps

\frac{135}{[ 5 ( 7 - 4 ) ^{2} ]}

Solve

[5 (7 - 4)^{2}] : 45

Follow the PEMDAS order of operations

Calculate within parentheses

(7 - 4) : 3

7 - 4

7 - 4 = 3

= 3

= 5 \cdot 3^{2}

Calculate exponents

3^{2} : 9

3^{2}

3^{2} = 9

= 9

= 5 \cdot 9

Multiply and divide (left to right)

5 \cdot 9 : 45

5 \cdot 9

5 \cdot 9 = 45

= 45

= 45

= \frac{135}{45}

Divide the numbers:

\frac{135}{45} = 3

= 3

\frac{14000}{40000}

3 (2)^{2}

- 2 (- 2)^{2} + (- 2)^{6} - 4 (- 2) + 1

26 \cdot 26

\frac{64}{2} \cdot 16