Solve (-12a^3y^3):(-4a^3y^3)=

$$( - 12 a ^ { 3 } y ^ { 3 } ) : ( - 4 a ^ { 3 } y ^ { 3 } ) =$$

Evaluate

$$3$$

Steps Using Quotient of Powers Property

Use the rules of exponents to simplify the expression.

$$\frac{\left(-12\right)^{1}a^{3}y^{3}}{\left(-4\right)^{1}a^{3}y^{3}}$$

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent.

$$\frac{\left(-12\right)^{1}}{\left(-4\right)^{1}}a^{3-3}y^{3-3}$$

Subtract 3 from 3.

$$\frac{\left(-12\right)^{1}}{\left(-4\right)^{1}}a^{0}y^{3-3}$$

For any number a except 0, a^{0}=1.

$$\frac{\left(-12\right)^{1}}{\left(-4\right)^{1}}y^{3-3}$$

Subtract 3 from 3.

$$\frac{\left(-12\right)^{1}}{\left(-4\right)^{1}}y^{0}$$

For any number a except 0, a^{0}=1.

$$\frac{\left(-12\right)^{1}}{\left(-4\right)^{1}}$$

Divide -12 by -4.

$$3$$

Factor

$$3$$