Problem 27
Question
Simplify each exponential expression. $$x^{3} \cdot x^{7}$$
Step-by-Step Solution
Verified Answer
The simplified form of the exponential expression \(x^{3} \cdot x^{7}\) is \(x^{10}\)
1Step 1: Apply the Product of Powers Rule
According to the Product of Powers Rule, we just add the exponents in this case because the bases are the same, so it simplifies to \(x^{3+7}\)
2Step 2: Perform the Addition
Add the exponents together: \(x^{10}\)
Other exercises in this chapter
Problem 26
Use the quotient rule to simplify the expressions in Exercises \(23-32\) Assume that \(x>0\) $$\sqrt{\frac{121}{9}}$$
View solution Problem 27
Find the intersection of the sets. $$\\{a, b, c, d\\} \cap \varnothing$$
View solution Problem 27
Factor each trinomial, or state that the trinomial is prime. $$6 x^{2}-11 x+4$$
View solution Problem 27
Multiply or divide as indicated. $$\frac{4 x^{2}+10}{x-3} \div \frac{6 x^{2}+15}{x^{2}-9}$$
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