nashathfazza257 nashathfazza257
  • 03-10-2020
  • Mathematics
contestada

Find the value of m

([tex]\frac{2}{9}^ {4}[/tex]×[tex]\frac{2}{9}^{-7}[/tex]=[tex]\frac{2}{9}^{2m+1}[/tex]

Respuesta :

oscar236
oscar236 oscar236
  • 03-10-2020

Answer:

-2.

Step-by-step explanation:

(2/9)^4 * (2/9)^-7 = (2/9)^-3   so

(2/9)^-3 = (2/9)^(2m+1)

So -3 = 2m + 1  ( as the base 2/9 is common to both sides of the equation)

2m = -4

m = -2.

Answer Link

Otras preguntas

What types of abuse are there?
equation 1 4y+1=x equation 2 x=5y solve the system of linear equations by substitution
One of the major weaknesses of the articles of confederation was that not enough power was given to a central (federal government). according to article i, sect
What effect does eutrophication have on aquatic ecosystems? A.)It prevents sunlight from reaching aquatic life below the water’s surface. B.)It negatively impac
What did Suleiman of Basra say about the porcelain of China?
Stacy decided that she would start doing sit– ups every day. Her plan each day was to do twice as many sit– ups as she had done the day before. If Stacy did f
Which of the following might be a duty of a noninstructional aide? A. Tutor a child B. Grade homework C. Teach calligraphy D. Accompany a child to and
Find the slope of x=-2
Which best describes the stylistic influence evoked in the melody of this excerpt?
In a story, what would cause a character to be considered complex? A. The character experiences many different emotions and has multiple motivations. B.