jblondeeie jblondeeie
  • 03-02-2020
  • Mathematics
contestada

A number to the 8 power divided by the same number to the 5 power equals 27 what is the number

Respuesta :

jay40891
jay40891 jay40891
  • 03-02-2020

Answer:

3

Step-by-step explanation:

Let the number be [tex]x[/tex]. Hence:

[tex]x^{8}[/tex] ÷ [tex]x^{5}[/tex] [tex]= 27[/tex]

[tex]x^{8-5} = 27[/tex] [Laws of Indices: [tex]a^{m}[/tex] ÷ [tex]a^{n}[/tex] = [tex]a^{m-n}[/tex]]

[tex]x^{3} = 27[/tex]

[tex]x = \sqrt[3]{27}[/tex]

[tex]x = 3[/tex]

Answer Link

Otras preguntas

hi folllow me at talfishmanfanpage09
Which of these statements is true: 1) It is not uncommon for most of the people in the top 5 percent of income-earners to be 45 years old and up. 2) Three-quar
why did el patron save matt’s brain in the first place
Determine which set of side measurements could be used to form a right triangle. 3, 11, 20 5, 9, 17 6, 7, 8 6, 8, 10
Find k such that the line is tangent to the graph of the function. Function: f(x)=k-x² Line: y=-6x+1
why did el patron save matt’s brain in the first place
Where is the moon? I’m graduated so my points are up for grabs cause I’ll never use them. I have to at least as a question with it though.
any g,,,irl can be my bestie forever​
Identify explicit formula for the sequence 3, 6, 9, 12, 15, ...
Please help me with all I will mark you brainly