A number with an exponent (b^e) consists of a base (b) raised to a power (e). The exponent indicates the number of times that the base is multiplied by itself. A base with an exponent of 1 equals the base (b¹ = b) and a base with an exponent of 0 equals 1 ( (b⁰ = 1).

To add or subtract terms with exponents, both the base and the exponent must be the same. In this case they are so add the coefficients and retain the base and exponent:

-4x⁷ + 7x⁷
(-4 + 7)x⁷
3x⁷

To add these distances, they must share the same unit so first you need to first convert the swim distance from meters (m) to kilometers (km) before adding it to the bike and run distances which are already in km. To convert 100 meters to kilometers, divide the distance by 1000 to get 0.1km then add the remaining distances:

total distance = swim + bike + run
total distance = 0.1km + 40.3km + 7.4km
total distance = 47.8km

Use PEMDAS (Parentheses, Exponents, Multipy/Divide, Add/Subtract):

4 + (4 + 4) ÷ 3 x 3 - 4²
P: 4 + (8) ÷ 3 x 3 - 4²
E: 4 + 8 ÷ 3 x 3 - 16
MD: 4 + \( \frac{8}{3} \) x 3 - 16
MD: 4 + \( \frac{24}{3} \) - 16
AS: \( \frac{12}{3} \) + \( \frac{24}{3} \) - 16
AS: \( \frac{36}{3} \) - 16
AS: \( \frac{36 - 48}{3} \)
\( \frac{-12}{3} \)
-4

The equation for this sequence is:

a_n = a_n-1 + 4(n - 1)

where n is the term's order in the sequence, a_n is the value of the term, and a_n-1 is the value of the term before a_n. This makes the next number:

a₆ = a₅ + 4(6 - 1)
a₆ = 41 + 4(5)
a₆ = 61