Question

What does a equal 5^9/5^3=5^a a=

Answer 1

1. Use the Quotient Rule: x^a/x^b = x^a - b

5^9 - 3 = 5a

2. Simplify 9 - 3 to 6

5^6 = 5^a

3. Simplify 5^6 to 15625

15625 = 5^a

4. Convert both sides to the same base

5^6 = 5^a

5. Cancel the base of 5 on both sides

6 = a

6. Switch sides

a = 6