Question

Given that a­­^b = x, evaluate the following:a^b+2

Answer 1

Answer:

  (a^2)x . . . . . or x·x^(2/b)

Step-by-step 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 ...

$a=x^{\frac{1}{b}} \qquad\text{so ...}\\\\x\cdot a^{2}=x\cdot x^{\frac{2}{b}}$