anonymous
  • anonymous
Help please no calculators just steps...
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
\[\frac{ 2^{30}-2^{29} }{ 2 }\]
geerky42
  • geerky42
HINT: \(2^{30} = 2\cdot2^{29}\)
geerky42
  • geerky42
This doesn't help? @yomamabf

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anonymous
  • anonymous
no fraid not
geerky42
  • geerky42
Sorry for keep you waiting. Hmm ok \(\dfrac{2\cdot2^{29}-2^{29}}{2}\) Is there something we can factor in numerator?
anonymous
  • anonymous
ummm can you explain what u mean
geerky42
  • geerky42
What is highest common factor in numerator?
anonymous
  • anonymous
this has to equal \[2^{28}\]
anonymous
  • anonymous
2^29
geerky42
  • geerky42
Yeah. so that means you can factor \(2^{29}\) out.
anonymous
  • anonymous
how would u factor it out?
geerky42
  • geerky42
Like this: \[\dfrac{2\cdot2^{29}-2^{29}}{2} = \dfrac{2^{29}(2-1)}{2}\]
geerky42
  • geerky42
Factor is basically opposite of distribution, you know?
anonymous
  • anonymous
ohhh yea i remember this okay what's the next step?
anonymous
  • anonymous
subtract the denominator?
geerky42
  • geerky42
well, clearly 2-1= 1 So we are down to \(\dfrac{2^{29}}{2}\)
geerky42
  • geerky42
You can use this exponent rule: \(\dfrac{a^b}{a^c} = a^{b-c}\)
anonymous
  • anonymous
OHHHHHHHHHH and then you subtract and get 2^28
geerky42
  • geerky42
yeah
anonymous
  • anonymous
I'm a doofus okay got it you're the best <3333
geerky42
  • geerky42
it's alright lol
geerky42
  • geerky42
Glad I helped

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