Solve 9m^2/m^2

$$\frac{ 9 { m }^{ 2 } }{ { m }^{ 2 } }$$

Evaluate

$$9$$

Steps for the Product of Two Exponentials

Use the rules of exponents to simplify the expression.

$$\left(9m^{2}\right)^{1}\times \frac{1}{m^{2}}$$

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

$$9^{1}\left(m^{2}\right)^{1}\times \frac{1}{1}\times \frac{1}{m^{2}}$$

Use the Commutative Property of Multiplication.

$$9^{1}\times \frac{1}{1}\left(m^{2}\right)^{1}\times \frac{1}{m^{2}}$$

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

$$9^{1}\times \frac{1}{1}m^{2}m^{2\left(-1\right)}$$

Multiply 2 times -1.

$$9^{1}\times \frac{1}{1}m^{2}m^{-2}$$

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

$$9^{1}\times \frac{1}{1}m^{2-2}$$

Add the exponents 2 and -2.

$$9^{1}\times \frac{1}{1}m^{0}$$

Raise 9 to the power 1.

$$9\times \frac{1}{1}m^{0}$$

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

$$9\times \frac{1}{1}\times 1$$

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

$$9\times \frac{1}{1}$$

Factor

$$3^{2}$$