Question

What is the product of 10x^4y^2 and 3xy^3

Choices
a) 30x^4y^5
b) 30x^4y^6
c) 30x^5y^5
d) 30x^5y^6

Answer 1

The product of 10x^4y^2 and 3xy^3 is found by multiplying the coefficients to get 30 and adding the exponents of like bases to get x^5 and y^5, resulting in 30x^5y^5.

Step-by-step explanation:

The product of 10x4y2 and 3xy3 is found by multiplying the coefficients (numerical parts) and adding the exponents of like bases according to the rules of exponents. To find the product, we multiply the coefficients 10 and 3 to get 30. Then, we add the exponents for the base x, which are 4 and 1 to get an exponent of 5 for x. Similarly, we add the exponents for the base y, which are 2 and 3 to get an exponent of 5 for y. Therefore, the product is 30x5y5, which corresponds to choice c.

Answer 2

C. Mult 10 and 3 and add the letters