Question

How do you solve 2 to the 3 power x 2 to the 5 power

Answer 1

Since the exponents are positive integers, from the associativity of multiplication, it follows that for any positive integers m and n

`b^(m) * b^(n) = b^(m+n)`
therefore,

`2^3* 2^5 = 2^(5+3) = 2^8 = 256`