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

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

wjitch of the following is most likely to couse a person to have sleeping problems A. anxiety B.emotional balance C.boredom D.Motivation

A square has a side that measures 5. 5 units. What is the area of a circle with a circumference that equals the perimeter of the square? Use 3. 14 for π, and ro

In a circle, a 270° sector has area 300s in? What is the radius of the circle? .

Where did the French colonial Take over in the 1900s

The phrase "the wind racing fiercely around the house" means that A. the wind is running around in circles. B. the force of the wind is fast and strong. C. t

Help Picture below problem 17

How can I get multiple user inputs in Java ? I want to be able to use it for subtraction, addition,division and multiplication.For example it should run like Ho

If A Surveyor asks you a question that you don’t know the answer to ,you should

how do i use a model to tell whether the fractions are equivalent? numbers: 1/2 and 5/10 grade 4

Who is the intended audience of the poem?who is the speaker