The smallest possible value is 2625
Answer:
Step-by-step explanation:
From the given information.
suppose a multiple choice test consists of 5 questions, each with 4 possible answers of which 1 is correct.:
So, we can now suggest that a person can answer each question in 4 different ways given that there are 5 different questions.
Thus, the students can check off one answer to each question in 
= 4 × 34 × 4 × 4 × 4
= 1024 different ways.
From the 4 possible answers, since 1 will be correct, definitely 3 other answers will be incorrect.
Thus, the number of ways a student can check off one answer to each question and get all the answers wrong is = 3⁵
= 3 × 3 × 3 × 3 × 3
= 243 ways
The point
is on the graph of the equation.
Explanation:
The equation is 
We need to determine the point
is on the graph.
To determine the point
is on the graph, we need to substitute the point in the equation and find whether the LHS is equal to RHS.
Thus, substituting the point
in the equation
, we get,

Multiplying the terms within the bracket, we have,

Adding the LHS, we have,

Thus, both sides of the equation are equal.
Hence, the point
is on the graph of the equation 
Answer:
a₈ = - 10935
Step-by-step explanation:
the nth term of a geometric sequence is
= a₁ 
where a₁ is the first term and r the common ratio
here a₁ = 5 and r =
=
= - 3 , then
a₈ = 5 ×
= 5 × - 2187 = - 10935