Question

Find the value of n: (5^n × 5^6) / 5^-3 = 625

Answer 1

Answer:

5^n×5^6/5^-3=625

5^n×5^6×5³=(5)⁴

5^(n+6+3)=5⁴

5^n+9=5⁴

Therefore

n+9=4

n=-5

So the value of n is -5

Hope this helps you friend

Answer 2

Answer:

-5 (explanation below)

Step-by-step explanation:

(5^n×5^6)/5^-3=625

or, (5^n×5^6)×1/5^-3=5^4

or, (5^n×5^6)×5^3=5^4 (a^m×a^n=a^m+n)

or, (5^n+6)×5^3=5^4

or, (5^n+6+3)=5^4 (a^m×a^n=a^m+n)

or, (5^n+9)=5^4

On comparing powers

n+9=4

n=4-9

n=-5

Hope it helps you mate