Question

Please explain how to solve this step by step.

Answer 1

Answer:

  (a^8)/(b^9)

Step-by-step explanation:

Two rules of exponents come into play.

  (a^b)/(a^c) = a^(b-c)

  a^-b = 1/a^b

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Applying the first rule, we have ...

  (a^3)/(a^-5) × (b^-2)/(b^7) = a^(3 -(-5)) × b^(-2 -7) = a^8 × b^-9

Applying the second rule gives the simplified form ...

  = (a^8)/(b^9)