Mahi2411 Mahi2411
  • 03-02-2022
  • Mathematics
contestada

[tex](\frac{1}{16} )^{3-2a} =64^{-a}[/tex]

(1/16)^(3-2a)=64^(-a)

Respuesta :

newkirkg
newkirkg newkirkg
  • 03-02-2022
a=6/7

Decimal answer: 0.857142

Hope this helps :)
Answer Link
jdoe0001 jdoe0001
  • 03-02-2022

[tex]\left( \cfrac{1}{16} \right)^{3-2a}=64^{-a}\implies \left( \cfrac{1}{4^2} \right)^{3-2a}=(4^3)^{-a}\implies (4^{-2})^{3-2a}=4^{-3a} \\\\\\ (4^2)^{2a-3}=4^{-3a}\implies 4^{2(2a-3)}=4^{-3a}\implies 4^{4a-6}=4^{-3a} \\\\\\ 4a-6=-3a\implies -6=-7a\implies \cfrac{-6}{-7}=a\implies \cfrac{6}{7}=a[/tex]

Answer Link

Otras preguntas

what about an atom can we learn by studying the bohr model?
You rent an apartment that costs $1300 per month during the first year, but the rent is set to go up 7.5% per year. What would be the rent of the apartment duri
Plssssssssssss helppppppp
HELP ASAP………HURRY…….
If you find yourself in a situation where someone asks you to do drugs, how can you say no and get out of the situation
Line a is perpendicular to line b. Which statement about lines a and b is true?
oye gogainah603 hello ​
Vi VE 5. A train accelerates from 60 km/h to 150 km/h and travels 600 m. How long does this motion take? 2.0.6 600 m.
translate the phrase into an algebraic explanation. the quotient of x and 5​
John bought 3 pants for $25 each and paid with a one hundred-dollar bill. Write a numerical expression to represent this situation and then find how much money