Solve -30y^2/-10y^2=

$$\frac { - 30 y ^ { 2 } } { - 10 y ^ { 2 } } =$$

Evaluate

$$3$$

Steps for the Product of Two Exponentials

Use the rules of exponents to simplify the expression.

$$\left(-30y^{2}\right)^{1}\times \frac{1}{-10y^{2}}$$

To raise the product of two or more numbers to a power, raise each number to the power and take their product.

$$\left(-30\right)^{1}\left(y^{2}\right)^{1}\times \frac{1}{-10}\times \frac{1}{y^{2}}$$

Use the Commutative Property of Multiplication.

$$\left(-30\right)^{1}\times \frac{1}{-10}\left(y^{2}\right)^{1}\times \frac{1}{y^{2}}$$

To raise a power to another power, multiply the exponents.

$$\left(-30\right)^{1}\times \frac{1}{-10}y^{2}y^{2\left(-1\right)}$$

Multiply 2 times -1.

$$\left(-30\right)^{1}\times \frac{1}{-10}y^{2}y^{-2}$$

To multiply powers of the same base, add their exponents.

$$\left(-30\right)^{1}\times \frac{1}{-10}y^{2-2}$$

Add the exponents 2 and -2.

$$\left(-30\right)^{1}\times \frac{1}{-10}y^{0}$$

Raise -30 to the power 1.

$$-30\times \frac{1}{-10}y^{0}$$

Raise -10 to the power -1.

$$-30\left(-\frac{1}{10}\right)y^{0}$$

Multiply -30 times -\frac{1}{10}.

$$3y^{0}$$

For any term t except 0, t^{0}=1.

$$3\times 1$$

For any term t, t\times 1=t and 1t=t.

$$3$$

Steps for Quotient of Exponentials

Use the rules of exponents to simplify the expression.

$$\frac{\left(-30\right)^{1}y^{2}}{\left(-10\right)^{1}y^{2}}$$

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

$$\frac{\left(-30\right)^{1}y^{2-2}}{\left(-10\right)^{1}}$$

Subtract 2 from 2.

$$\frac{\left(-30\right)^{1}y^{0}}{\left(-10\right)^{1}}$$

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

$$\frac{\left(-30\right)^{1}}{\left(-10\right)^{1}}$$

Divide -30 by -10.

$$3$$

Factor

$$3$$