jessiems04 jessiems04
  • 08-07-2022
  • Mathematics
contestada

How can the following expression be written so that no negative exponents appear?
(a5)³a-6
Q-2

How can the following expression be written so that no negative exponents appear a5a6 Q2 class=

Respuesta :

johnny837
johnny837 johnny837
  • 08-07-2022

Answer:

a^11

Step-by-step explanation:

1) Simplify the numerator. Use the laws: (x^a)^y = x^ay, x^a × x^b = x^a+b.

= a¹⁵ × a^-6 / a^-2

= a⁹ / a^-2

2) Divide them. Use the law: x^a / x^b = x^a - b.

= a^9 - (-2) / 1

= a^9 + 2 / 1

= a^11

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