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Exercise

$\frac{a^{12c+4}}{a^{-2+3c}}$

Step-by-step Solution

1

Simplify the fraction $\frac{a^{\left(12c+4\right)}}{a^{\left(-2+3c\right)}}$ by $a$

$a^{\left(12c+4-\left(-2+3c\right)\right)}$
2

Simplify the product $-(-2+3c)$

$a^{\left(12c+4+2-3c\right)}$
3

Add the values $4$ and $2$

$a^{\left(12c+6-3c\right)}$
4

Combining like terms $12c$ and $-3c$

$a^{\left(9c+6\right)}$

Final answer to the exercise

$a^{\left(9c+6\right)}$

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