Solve for n (39)8=(83)n

$(3 \cdot 9) \cdot 8 = (8 \cdot 3) \cdot n$

Step 1

Rewrite the equation as $8 \cdot 3 \cdot n = 3 \cdot 9 \cdot 8$ .

$8 \cdot 3 \cdot n = 3 \cdot 9 \cdot 8$

Step 2

Simplify.

Multiply $8$ by $3$ .

$24 \cdot n = 3 \cdot 9 \cdot 8$

Multiply $3$ by $9$ .

$24 \cdot n = 27 \cdot 8$

Multiply $27$ by $8$ .

$24 \cdot n = 216$

Step 3

Divide each term in $(24 \cdot n) = 216$ by $24$ and simplify.

Divide each term in $(24 \cdot n) = 216$ by $24$ .

$\frac{(24 \cdot n)}{24} = \frac{216}{24}$

Simplify the left side.

Cancel the common factor of $24$ .

Cancel the common factor.

$\frac{24 \cdot n}{24} = \frac{216}{24}$

Divide $n$ by $1$ .

$n = \frac{216}{24}$

Simplify the right side.

Divide $216$ by $24$ .

$n = 9$

Solve for n (3*9)*8=(8*3)*n