Respuesta :

Answer:

[tex]\frac{\left(a^3\right)\left(a^9\right)}{a^4}=a^8[/tex]

Step-by-step explanation:

[tex]\frac{\left(a^3\right)\left(a^9\right)}{a^4}\\\\= \frac{a^3a^9}{a^4}\\\\=a^3a^9\\\\=a^{3+9}\\\\=a^{12}\\\\=a^{12-4}\\=a^8[/tex]

Answer:

a⁸

Step-by-step explanation:

a³*a⁹/a⁴

Product law:Says that if the base of the number being multiplied is the same, then we can add the exponents

Therefore

a to the power of 3+9/a⁴

a¹²/a⁴

Quotient law:Says that when we divide two numbers with the same base,we can subtract the exponents

Therefore

a to the power of 12-4

a⁸