Simplify ((2a)^6)/(a^2)

$\frac{{(2 a)}^{6}}{a^{2}}$

Step 1

Simplify the numerator.

Apply the product rule to $2 a$ .

$\frac{2^{6} a^{6}}{a^{2}}$

Raise $2$ to the power of $6$ .

$\frac{64 a^{6}}{a^{2}}$

$\frac{64 a^{6}}{a^{2}}$

Step 2

Cancel the common factor of $a^{6}$ and $a^{2}$ .

Factor $a^{2}$ out of $64 a^{6}$ .

$\frac{a^{2} (64 a^{4})}{a^{2}}$

Cancel the common factors.

Multiply by $1$ .

$\frac{a^{2} (64 a^{4})}{a^{2} \cdot 1}$

Cancel the common factor.

$\frac{a^{2} (64 a^{4})}{a^{2} \cdot 1}$

Rewrite the expression.

$\frac{64 a^{4}}{1}$

Divide $64 a^{4}$ by $1$ .

$64 a^{4}$

$64 a^{4}$

$64 a^{4}$

Related Questions