Question

In the following expression, both A and B are variables that can take positive values.

Aᴮ(B+ 2)

Which of these actions will cause the expression's value to increase? Choose 2 answers:

a. Keeping A constant and increasing B
b. Keeping A constant and decreasing B
c. Increasing A and keeping B constant
d. Decreasing A and keeping B constant

Answer 1

Keeping A constant and increasing B, and increasing A and keeping B constant will cause the expression's value to increase. Option a

Step-by-step explanation:

Keeping A constant and increasing B will cause the expression's value to increase. When A is constant and B is increased, the exponent B+2 becomes larger, resulting in a greater value for the expression. For example, if A=2 and B=3, the expression becomes 2^5=32.

Increasing A and keeping B constant will also cause the expression's value to increase. When A is increased, the base A^B becomes larger, resulting in a greater value for the expression. For example, if A=2 and B=3, the expression becomes 3^5=243. Option a