Solve 22x^2/121x^2

$$\frac { 22 x ^ { 2 } } { 121 x ^ { 2 } }$$

Evaluate

$$\frac{2}{11}\approx 0.181818182$$

Steps for the Product of Two Exponentials

Use the rules of exponents to simplify the expression.

$$\left(22x^{2}\right)^{1}\times \frac{1}{121x^{2}}$$

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

$$22^{1}\left(x^{2}\right)^{1}\times \frac{1}{121}\times \frac{1}{x^{2}}$$

Use the Commutative Property of Multiplication.

$$22^{1}\times \frac{1}{121}\left(x^{2}\right)^{1}\times \frac{1}{x^{2}}$$

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

$$22^{1}\times \frac{1}{121}x^{2}x^{2\left(-1\right)}$$

Multiply 2 times -1.

$$22^{1}\times \frac{1}{121}x^{2}x^{-2}$$

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

$$22^{1}\times \frac{1}{121}x^{2-2}$$

Add the exponents 2 and -2.

$$22^{1}\times \frac{1}{121}x^{0}$$

Raise 22 to the power 1.

$$22\times \frac{1}{121}x^{0}$$

Multiply 22 times \frac{1}{121}.

$$\frac{2}{11}x^{0}$$

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

$$\frac{2}{11}\times 1$$

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

$$\frac{2}{11}$$

Steps for Quotient of Exponentials

Use the rules of exponents to simplify the expression.

$$\frac{22^{1}x^{2}}{121^{1}x^{2}}$$

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

$$\frac{22^{1}x^{2-2}}{121^{1}}$$

Subtract 2 from 2.

$$\frac{22^{1}x^{0}}{121^{1}}$$

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

$$\frac{22^{1}}{121^{1}}$$

Reduce the fraction \frac{22}{121} to lowest terms by extracting and canceling out 11.

$$\frac{2}{11}$$

Factor

$$\frac{2}{11} = 0.18181818181818182$$