Question

What is the value of b for the equation 5^6×5^b=5^12

Answer 1

Answer:

6

Step-by-step explanation:

$x^y*x^n=x^{n+y}\\6+b=12\\b=6$

Answer 2

Answer:

6

Step-by-step explanation:

We are given here a exponential equation and we need to find out the value of b in the equation. So the given equation is ,

⇒5⁶ × 5^b = 5¹²

⇒ 5^(6+b) = 5¹² [ using aⁿ × aⁿ' = a^(n + n') ]

On comparing the bases and powers we have ,

⇒ 6 + b = 12

⇒ b = 12 - 6

⇒ b = 6

Hence the value of b is 6 .