Solve 10x^2/3x^2

$$\frac { 10 x ^ { 2 } } { 3 x ^ { 2 } }$$

Evaluate

$$\frac{10}{3}\approx 3.333333333$$

Steps for the Product of Two Exponentials

Use the rules of exponents to simplify the expression.

$$\left(10x^{2}\right)^{1}\times \frac{1}{3x^{2}}$$

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

$$10^{1}\left(x^{2}\right)^{1}\times \frac{1}{3}\times \frac{1}{x^{2}}$$

Use the Commutative Property of Multiplication.

$$10^{1}\times \frac{1}{3}\left(x^{2}\right)^{1}\times \frac{1}{x^{2}}$$

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

$$10^{1}\times \frac{1}{3}x^{2}x^{2\left(-1\right)}$$

Multiply 2 times -1.

$$10^{1}\times \frac{1}{3}x^{2}x^{-2}$$

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

$$10^{1}\times \frac{1}{3}x^{2-2}$$

Add the exponents 2 and -2.

$$10^{1}\times \frac{1}{3}x^{0}$$

Raise 10 to the power 1.

$$10\times \frac{1}{3}x^{0}$$

Multiply 10 times \frac{1}{3}.

$$\frac{10}{3}x^{0}$$

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

$$\frac{10}{3}\times 1$$

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

$$\frac{10}{3}$$

Steps for Quotient of Exponentials

Use the rules of exponents to simplify the expression.

$$\frac{10^{1}x^{2}}{3^{1}x^{2}}$$

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

$$\frac{10^{1}x^{2-2}}{3^{1}}$$

Subtract 2 from 2.

$$\frac{10^{1}x^{0}}{3^{1}}$$

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

$$\frac{10^{1}}{3^{1}}$$

Divide 10 by 3.

$$\frac{10}{3}$$

Factor

$$\frac{2 \cdot 5}{3} = 3\frac{1}{3} = 3.3333333333333335$$