Question

If 16 x 8n+ 2 = 2m ,then m =​

Answer 1

Step-by-step explanation:

Given that 16 x 8n + 2 = 2m

Apply the law of Fractional Exponents and Laws of Exponents

if a multiply three times a x a x a then

a x a x a = a3

if a multiply two times a x a then

a x a = a2

if a multiply n times a x a x a x....up to n times, then

a x a x a x a ......up to n times = an

⇒ (2)4 x 23 x (n+2) = 2m

⇒ (2)4 x 23n+6 = 2m

aman = am+n

⇒ (2)(4 + 3n + 6) = 2m

⇒ (2)(3n + 10) = 2m

if pX = pY then X will be equal to Y. means X = Y;

On comparing, we get

3n + 10 = m

⇒ m = 3n + 10;