Question

express the following fraction in simplest form using only positive exponents.\\(\frac{3(a^3)^4}{15a^4}\\)

Explanation:

Step1: Simplify the coefficient

$\frac{3}{15} = \frac{1}{5}$

Step2: Simplify the exponent term

$(a^3)^4 = a^{3 \times 4} = a^{12}$

Step3: Subtract exponents of $a$

$\frac{a^{12}}{a^4} = a^{12-4} = a^8$

Step4: Combine the results

$\frac{1}{5} \times a^8$

Answer:

$\frac{a^8}{5}$