Simplify (4^3*3^10)/(6^10)

$\frac{4^{3} \cdot 3^{10}}{6^{10}}$

Step 1

Simplify the numerator.

Raise $4$ to the power of $3$ .

$\frac{64 \cdot 3^{10}}{6^{10}}$

Raise $3$ to the power of $10$ .

$\frac{64 \cdot 59049}{6^{10}}$

Step 2

Reduce the expression by cancelling the common factors.

Raise $6$ to the power of $10$ .

$\frac{64 \cdot 59049}{60466176}$

Multiply $64$ by $59049$ .

$\frac{3779136}{60466176}$

Cancel the common factor of $3779136$ and $60466176$ .

Factor $3779136$ out of $3779136$ .

$\frac{3779136 (1)}{60466176}$

Cancel the common factors.

Factor $3779136$ out of $60466176$ .

$\frac{3779136 \cdot 1}{3779136 \cdot 16}$

Cancel the common factor.

$\frac{3779136 \cdot 1}{3779136 \cdot 16}$

Rewrite the expression.

$\frac{1}{16}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{16}$

Decimal Form:

$0.0625$