Geometric series question (1 Viewer)

BlueGas · Aug 23, 2015

I just wanna know how did they get 1024x?

InteGrand · Aug 23, 2015

BlueGas said:
I just wanna know how did they get 1024x?

$(-2)^{10}= 1024$

BlueGas · Aug 23, 2015

InteGrand said:
$(-2)^{10}= 1024$

Ah okay, but howcome ^10 was there even after getting 1024?

InteGrand · Aug 23, 2015

BlueGas said:
Ah okay, but howcome ^10 was there even after getting 1024?

$(-2x)^{10}=\underbrace{(-2)^{10}\times x^{10}}_{\text{using the index law }(ab)^r = a^r b^r} = 1024x^{10}$

BlueGas · Aug 23, 2015

InteGrand said:
$(-2x)^{10}=(-2)^{10}\times (x)^{10} = 1024x^10$

Ohhh thanks man!