Identify the correct product.

Question

(7x^3)(3x^7)

Responses

21x4
21 x to the 4th power

21x10
21 x to the 10th power

21x21
21 x to the 21th power

10x10

Answer 1

To find the product of the expression \((7x^3)(3x^7)\), you can follow these steps:

1. Multiply the coefficients (the numerical parts): \(7 \times 3 = 21\).
2. Add the exponents of \(x\) (since you are multiplying like bases): \(3 + 7 = 10\).

Putting these together, the product is:

\[ 21x^{10} \]

The correct response is:

21 x to the 10th power.