Simplify ((m^3)^6)÷(m^18)

${(m^{3})}^{6} \div m^{18}$

Step 1

Rewrite the division as a fraction.

$\frac{{(m^{3})}^{6}}{m^{18}}$

Step 2

Multiply the exponents in ${(m^{3})}^{6}$ .

Apply the power rule and multiply exponents, ${(a^{m})}^{n} = a^{m n}$ .

$\frac{m^{3 \cdot 6}}{m^{18}}$

Multiply $3$ by $6$ .

$\frac{m^{18}}{m^{18}}$

Step 3

Cancel the common factor of $m^{18}$ .

Cancel the common factor.

$\frac{m^{18}}{m^{18}}$

Rewrite the expression.

$1$