Question

-2 x 4^5 + 18 x 4^5 = ?

The answer must be in form of a^b. Please explain step by step.

Answer 1

17*2^11

Explanation:

Lets start by remembering two property of power.

`x^(m) * x^(n)= x^(n+m)`

`(x^(m))^(n)= x^(m*n)`

That is important to remember since 4= 2^2. Hence, the given problem can be written as the following

`-2*(2^(2) )^(5)+9*2^(2)*(2^(2) )^(5)  \\-2*2^(10)+9*2^(2)*2^(10)\\ -2^(11)+9*2^(12)\\ -2^(11)(-1+9*2)=-2^(11) (17)`