Problem 36

Question

Simplify each exponential expression. $$\frac{x^{30}}{x^{10}}$$

Step-by-Step Solution

Verified
Answer
The simplified form of the given expression is \(x^{20}\)
1Step 1: Apply the Exponent Rule for Division
To simplify the expression we can use the exponent rule for division, which states that when you divide two exponentials with the same base, you subtract the exponents. For this expression, \(x^{30}/x^{10}=x^{30-10}\)
2Step 2: Subtract the Exponents
Now, subtract the smaller exponent from the larger one. So you get \(x^{20}\)