Question

this is the only question in this section.
question
simplify:
$x^6 \cdot x^2$

Explanation:

Step1: Recall exponent rule for multiplication

When multiplying two exponential expressions with the same base, we use the rule \( a^m \cdot a^n = a^{m + n} \). Here, the base \( a = x \), \( m = 6 \), and \( n = 2 \).

Step2: Apply the rule

Substitute the values into the rule: \( x^6 \cdot x^2 = x^{6 + 2} \)

Step3: Simplify the exponent

Calculate \( 6 + 2 = 8 \), so we get \( x^8 \).

Answer:

\( x^8 \)