Evaluate 162÷(6(7-4)^2)

$162 \div (6 {(7 - 4)}^{2})$

Step 1

Rewrite the division as a fraction.

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

Step 2

Cancel the common factor of $162$ and $6$ .

Factor $6$ out of $162$ .

$\frac{6 \cdot 27}{6 {(7 - 4)}^{2}}$

Cancel the common factors.

Factor $6$ out of $6 {(7 - 4)}^{2}$ .

$\frac{6 \cdot 27}{6 ({(7 - 4)}^{2})}$

Cancel the common factor.

$\frac{6 \cdot 27}{6 {(7 - 4)}^{2}}$

Rewrite the expression.

$\frac{27}{{(7 - 4)}^{2}}$

$\frac{27}{{(7 - 4)}^{2}}$

$\frac{27}{{(7 - 4)}^{2}}$

Step 3

Simplify the denominator.

Subtract $4$ from $7$ .

$\frac{27}{3^{2}}$

Raise $3$ to the power of $2$ .

$\frac{27}{9}$

$\frac{27}{9}$

Step 4

Divide $27$ by $9$ .

$3$

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