Question

(5x^3)(5x^2y^4)

Explanation:

Step1: Multiply the coefficients

Multiply the coefficients 5 and 5: $5\times5 = 25$

Step2: Multiply the x terms

Using the rule of exponents $a^m\times a^n=a^{m + n}$, for $x^3\times x^2$, we get $x^{3+2}=x^5$

Step3: Combine the results

The $y^4$ term remains as it is. So we combine the coefficient, the x - term, and the y - term: $25\times x^5\times y^4=25x^5y^4$

Answer:

$25x^5y^4$