Question

Given that 2^h*2^3=2^9 find h​

Answer 1

Answer:

h=6

Step-by-step explanation:

2^h*2^3=2^9

using law of indexes

a^x * a^y = a^(x+y)

here x= h

y=3

a=2

2^h*2^3=2^9

=2^(h+3)=2^9

by comparing the powers, base is same

we get

h+3=9

h=9-3

h=6

Answer 2

Answer:

Step-by-step explanation:

a^m×a^n=a^m+n

If 2^6×2^3=2^6+3=2^9

So h=6