Given that a^b = x, evaluate the following: a^b+2
a^b = x
a^b + 2 = x + 2
If your question mean:
Given that aᵇ = x, evaluate the following: aᵇ⁺²
then:
aᵐ⁺ⁿ = aᵐ ∙ aⁿ
In this case:
aᵇ⁺² = aᵇ ∙ a² = x ∙ a²
To evaluate a^b+2, we can use the property of exponentiation where a^m * a^n = a^(m + n).
In this case, a^b+2 can be rewritten as a^b * a^2.
Since we are given a^b = x, we substitute x into the expression:
a^b+2 = x * a^2.
So, to evaluate a^b+2, you need to multiply x by a^2.