Solve 2y^2/3y^2

$$\frac{ 2 { y }^{ 2 } }{ 3 { y }^{ 2 } }$$

Evaluate

$$\frac{2}{3}\approx 0.666666667$$

Steps for the Product of Two Exponentials

Use the rules of exponents to simplify the expression.

$$\left(2y^{2}\right)^{1}\times \frac{1}{3y^{2}}$$

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

$$2^{1}\left(y^{2}\right)^{1}\times \frac{1}{3}\times \frac{1}{y^{2}}$$

Use the Commutative Property of Multiplication.

$$2^{1}\times \frac{1}{3}\left(y^{2}\right)^{1}\times \frac{1}{y^{2}}$$

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

$$2^{1}\times \frac{1}{3}y^{2}y^{2\left(-1\right)}$$

Multiply 2 times -1.

$$2^{1}\times \frac{1}{3}y^{2}y^{-2}$$

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

$$2^{1}\times \frac{1}{3}y^{2-2}$$

Add the exponents 2 and -2.

$$2^{1}\times \frac{1}{3}y^{0}$$

Raise 2 to the power 1.

$$2\times \frac{1}{3}y^{0}$$

Multiply 2 times \frac{1}{3}.

$$\frac{2}{3}y^{0}$$

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

$$\frac{2}{3}\times 1$$

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

$$\frac{2}{3}$$

Steps for Quotient of Exponentials

Use the rules of exponents to simplify the expression.

$$\frac{2^{1}y^{2}}{3^{1}y^{2}}$$

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

$$\frac{2^{1}y^{2-2}}{3^{1}}$$

Subtract 2 from 2.

$$\frac{2^{1}y^{0}}{3^{1}}$$

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

$$\frac{2^{1}}{3^{1}}$$

Divide 2 by 3.

$$\frac{2}{3}$$

Factor

$$\frac{2}{3} = 0.6666666666666666$$