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

how is a scientific theory developed?
what has contributed to the decrease in the total number of animals living on the continent of North America
After submitting a résumé by mail, how long should you wait before following up with an employer?a. 1 dayb. 2-3 daysc. 1 weekd. 2 weeks
Which statement is true? a. If soil is not protected it will erode. c. Soil develops as plants and rocks break down. b. If soil is not protected it will become
If supply for a product is high but demand is low, what most likely needs to happen to achieve equilibrium?
Choose the correct vocabulary word that matches the image. la mochila el escritorio el salón la libreta
What is the connection between west africa and the southern colonies?
what is the answer of 5x+2=3x
Why do Americans hate communism so much?
Mr Ordonez gives his math students 34 quizzes during 17 weeks of school. If he gave the same number of quizzes each week, how many quizzes does Mr Ordonez give