Question

(5^(12)⋅5^(-5))/(5^(3)⋅5^(-2))

Answer 1

Answer:

5^6

Step-by-step explanation:

look at attachment

Answer 2

Answer:

5^6

Step-by-step explanation:

$5^{(12)}⋅5^{(-5)}/(5^{(3)}⋅5^{(-2)})$

Laws Of Indices:

• a^n * a^b = a^(n+b) ...(i)
• a^n/a^b = a^(n-b) ...(ii)

Usage of law 1:

Thus for numerator,

• 5^(12+(-5)) = 5^(12-5) = 5^7

For denominator,

• 5^(3+(-2)) = 5^(3-2) = 5

Now

• 5^7/5^1

Usage of law 2:

• 5^(7-1) = 5^6