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

Answer:

17*2^11

Step-by-step 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

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