VanillaAngelic
VanillaAngelic VanillaAngelic
  • 09-08-2019
  • Mathematics
contestada

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

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

Respuesta :

Gasaqui
Gasaqui Gasaqui
  • 19-08-2019

Answer:

17*2^11

Step-by-step explanation:

Lets start by remembering two property of power.

[tex]x^{m} * x^{n}= x^{n+m}[/tex]

[tex](x^{m})^{n}= x^{m*n}[/tex]

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

[tex]-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)[/tex]

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