Question

What is the sum of v^-2 and v^-18?
A) 4v^2
B) 4v^2i
C) 5v^2
D) 5v^2i

Answer 1

The sum of v^-2 and v^-18 is v^18 + v^2/v^18.

Step-by-step explanation:

To find the sum of v-2 and v-18, we can use the rule of exponents that states:

a-m = 1/am.

Applying this rule, we can rewrite the expression as:

1/v2 + 1/v18

To combine these terms, we need to find a common denominator. In this case, the common denominator is v18. So, multiplying the first term by v18/v18 and the second term by v2/v2, we get:

v18/v2 + v2/v18

To add the fractions, we add the numerators while keeping the denominator the same:

v18 + v2/v18

Therefore, the sum of v-2 and v-18 is v18 + v2/v18.