Evaluate (3^10)/(3^7)

$\frac{3^{10}}{3^{7}}$

Step 1

Cancel the common factor of $3^{10}$ and $3^{7}$ .

Factor $3^{7}$ out of $3^{10}$ .

$\frac{3^{7} \cdot 3^{3}}{3^{7}}$

Cancel the common factors.

Multiply by $1$ .

$\frac{3^{7} \cdot 3^{3}}{3^{7} \cdot 1}$

Cancel the common factor.

$\frac{3^{7} \cdot 3^{3}}{3^{7} \cdot 1}$

Rewrite the expression.

$\frac{3^{3}}{1}$

Divide $3^{3}$ by $1$ .

$3^{3}$

Step 2

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

$27$