What is (162)/([6(7-4)^2]) ?

The solution to (162)/([6(7-4)^2]) is 3

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(162)/([6(7-4)^2])

\frac{162}{[ 6 ( 7 - 4 ) ^{2} ]}

3

Solution steps

\frac{162}{[ 6 ( 7 - 4 ) ^{2} ]}

Solve

[6 (7 - 4)^{2}] : 54

Follow the PEMDAS order of operations

Calculate within parentheses

(7 - 4) : 3

7 - 4

7 - 4 = 3

= 3

= 6 \cdot 3^{2}

Calculate exponents

3^{2} : 9

3^{2}

3^{2} = 9

= 9

= 6 \cdot 9

Multiply and divide (left to right)

6 \cdot 9 : 54

6 \cdot 9

6 \cdot 9 = 54

= 54

= 54

= \frac{162}{54}

Divide the numbers:

\frac{162}{54} = 3

= 3

(6 - 4) \cdot \frac{49}{7}

10 - (- 9)^{2}

6 - (5 + 2 (4 - 7))

0.25

3^{2} + 5