Question

question 1
1 pts
$x^5(x^3) = x^?$
only fill in the power
question 2
1 pts
$\frac{x^5}{x^3} = x^?$
only fill in the power

Explanation:

Question 1

Step1: Recall exponent rule for multiplication

When multiplying exponents with the same base, we add the exponents: \(a^m \cdot a^n = a^{m + n}\). Here, the base is \(x\), \(m = 5\) and \(n = 3\).

Step2: Apply the rule

\(x^5 \cdot x^3 = x^{5 + 3}=x^8\)

Step1: Recall exponent rule for division

When dividing exponents with the same base, we subtract the exponents: \(\frac{a^m}{a^n}=a^{m - n}\). Here, the base is \(x\), \(m = 5\) and \(n = 3\).

Step2: Apply the rule

\(\frac{x^5}{x^3}=x^{5 - 3}=x^2\)

Answer:

8

Question 2