Question

Help please no calculators just steps...

Answer 1

\[\frac{ 2^{30}-2^{29} }{ 2 }\]

Answer 2

HINT: \(2^{30} = 2\cdot2^{29}\)

Answer 3

This doesn't help? @yomamabf

Answer 4

no fraid not

Answer 5

Sorry for keep you waiting.

Hmm ok

\(\dfrac{2\cdot2^{29}-2^{29}}{2}\)

Is there something we can factor in numerator?

Answer 6

ummm can you explain what u mean

Answer 7

What is highest common factor in numerator?

Answer 8

this has to equal \[2^{28}\]

Answer 9

2^29

Answer 10

Yeah. so that means you can factor \(2^{29}\) out.

Answer 11

how would u factor it out?

Answer 12

Like this: \[\dfrac{2\cdot2^{29}-2^{29}}{2} = \dfrac{2^{29}(2-1)}{2}\]

Answer 13

Factor is basically opposite of distribution, you know?

Answer 14

ohhh yea i remember this okay what's the next step?

Answer 15

subtract the denominator?

Answer 16

well, clearly 2-1= 1

So we are down to \(\dfrac{2^{29}}{2}\)

Answer 17

You can use this exponent rule: \(\dfrac{a^b}{a^c} = a^{b-c}\)

Answer 18

OHHHHHHHHHH and then you subtract and get 2^28

Answer 19

yeah

Answer 20

I'm a doofus okay got it you're the best <3333

Answer 21

it's alright lol

Answer 22

Glad I helped