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

A light plane flew from its home base to an airport 255 miles away. With a head wind, the trip took 1.7 hours. The return trip with a tail wind took 1.5 h

36 is _______% less than 60?

What were the 4 major truths Jefferson presented in the declaration of independence?

on sara's computer, 3/8 of the hard drive is files. Of the files, 1/6 are games . What part of the hard drive is games?

two methods of active transport

what are three ways water erodes the surface of earth

what type of rock is the Haystack rock (igneous, Metamorphic, or Sedimentary)

A snowball is launched horizontally from the top of a building at v = 16.9 m/s. If it lands d = 44 meters from the bottom, how high (in m) was the building?

what are three ways water erodes the surface of earth

A light plane flew from its home base to an airport 255 miles away. With a head wind, the trip took 1.7 hours. The return trip with a tail wind took 1.5 h