Question

problems ( make
$6x^{2} \cdot x^{8} \cdot 5$

Explanation:

Step1: Apply exponent rule for multiplication

When multiplying variables with exponents, we use the rule \(a^m \cdot a^n = a^{m + n}\). Here, for the \(x\) terms: \(x^2 \cdot x^8 = x^{2 + 8}\)
\[x^2 \cdot x^8 = x^{10}\]

Step2: Multiply the coefficients and the variable term

The coefficient of the first term is \(6\) and we also have a factor of \(5\) (assuming the expression is \(6x^2 \cdot x^8 \cdot 5\) as the original might have a typo). Multiply the coefficients \(6\) and \(5\), and then multiply by the \(x\) term we found.
\[6 \cdot 5 \cdot x^{10}= 30x^{10}\]

Answer:

\(30x^{10}\)