Question

What is the product of x^7 and x^4?

Answer 1

Step-by-step explanation:

For this problem, we need to focus on the exponent rule for multiplying.

Rule:

$x^{a} \times {x}^{b} = {x}^{a + b}$

In words:

When multiplying with exponents, the exponents add.

For this problem, we'll be adding the exponents of 7 and 4.

Solve:

${x}^{7} \times {x}^{4} = {x}^{7 + 4} = {x}^{11}$

Your product is x^11 (x to the 11th power)