what is the product?\n$(7x^{2}y^{3})(3x^{5}y^{8})$ \n$10x^{7}y^{11}$\n$10x^{10}y^{24}$\n$21x^{7}y^{11}$\n$21x…
what is the product?\n$(7x^{2}y^{3})(3x^{5}y^{8})$ \n$10x^{7}y^{11}$\n$10x^{10}y^{24}$\n$21x^{7}y^{11}$\n$21x^{10}y^{24}$
Answer
Explanation:
Step1: Multiply the coefficients
$7\times3 = 21$
Step2: Use the product - rule of exponents for $x$
When multiplying powers with the same base ($a^m\times a^n=a^{m + n}$), for $x^2\times x^5$, we have $x^{2+5}=x^7$
Step3: Use the product - rule of exponents for $y$
For $y^3\times y^8$, we have $y^{3 + 8}=y^{11}$
Step4: Combine the results
The product is $21x^7y^{11}$
Answer:
C. $21x^7y^{11}$