Question

Given that a­­^b = x, evaluate the following:


a^b+2

Answer 1

x^2

Explanation:

:)

Answer 2

(a^2)x . . . . . or x·x^(2/b)

Explanation:

In the expression ...

`a^(b+2)=a^(b)\cdot a^(2)`

making the substitution

`a^(b)=x`

we get ...

`a^(b+2)=a^(b)\cdot a^(2)=x\cdot a^(2)`

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If you want it in terms of b instead of a, then ...

`a=x^{(1)/(b)} \qquad\text{so ...}\\\\x\cdot a^(2)=x\cdot x^{(2)/(b)}`