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

Compare and contrast United States society in the 1920s and the 1950s with respect to TWO of the following: race relations, role of women, consumerism.

Divide. Express your answer in lowest terms. 1/8 Divided by 4 =

Which sequence of transformations will produce similar but not congruent figures? Choose all answers that are correct. A. Figure PQRST is rotated 180° counterc

how to write 16 as a fraction

A bird owner wants to purchase birdseed from the local pet store. Sunflower seeds sell for $8 per pound and regular bird seed sells for $6 per pound. How ma

How can I use United Nations in a sentence??

word form for 10 times 10 times 10 times 10 times 10

what is solar power?

How many ways can 10 runners finish first, second, and third in a race?

Why did the Emancipation Proclamation free slaves only in Confederate states? (1 point) President Lincoln did not have the authority to remove property from U.S