Multiply (2.0 ⋅ 10−4) ⋅ (3.1 ⋅ 10−20). express the answer in scientific notation. 6.2 ⋅ 10−80 6.2 ⋅ 10−24 6.2 ⋅ 1024 6.2 ⋅ 1080

Scientifice notation is
(number less than 10 but greater than or equal to 1) times (10^x)

remember
(ab)(cd)=abcd=(ac)(bd)

and
(x^m)(x^n)=x^(m+n)

so
(2*10^4)(3.1*10^20)=
(2)(10^4)(3.1)(10^20)=
(2*3.1)(10^4*10^20)

(10^4)(10^20)=10^(4+20)=10^(24)

(6.2)(10^24)

scientifie notiaotn is
6.2*10^24

2d option

(2,0 * 10⁻⁴) * (3,1 *10⁻²⁰) =

the order of multiplication factors not relevant

2,0 * 3,1 * 10⁻⁴ * 10 ⁻²⁰ =

6,2 *10 ⁻⁴ ⁺⁽⁻²⁰⁾ = 6,2⁻²⁴

the formula of a slope:

from a table we have

substitute:

the slope of f(x) is -1.

the graph of funcfion g(x) is a horizontal line. the slope of a horizontal line is equal 0. therefore the slope of g(x) is 0.

-1 < 0

answer: the function g(x) has the greatest slope.