lonerlee15
lonerlee15 lonerlee15
  • 16-10-2019
  • Mathematics
contestada

For which value of m is the equation below true? x^m x^4=x^8? A m=4. B m=12. C m=32. D m=2

Respuesta :

jimrgrant1 jimrgrant1
  • 16-10-2019

Answer:

A

Step-by-step explanation:

Using the rule of exponents

[tex]a^{m}[/tex] × [tex]a^{n}[/tex] ⇔ [tex]a^{m+n}[/tex], thus

Given

[tex]x^{m}[/tex] × [tex]x^{4}[/tex] = [tex]x^{8}[/tex], that is

[tex]x^{4+m}[/tex] = [tex]x^{8}[/tex]

Since the bases are the same equate the exponents

4 + m = 8 ( subtract 4 from both sides )

m = 4 → A

Answer Link

Otras preguntas

What was Neruda’s political preference?
Find the greatest common factor. 5x5y2 + 15x2y3 + x3y5
Which is an example of a right of American citizens? A) serving on a jury B) freedom of the press C) participating in surveys D) following the country’s laws
1. The rectangle shown is dilated by a scale factor of 2. (a) Calculate the length of each side of the dilated image. (4 pts) (b) Draw the original rectangle an
what divided by 5 equals 1.21
Find f. f ''(θ) = sin θ + cos θ, f(0) = 3, f '(0) = 4
How did Dorothea Dix's study of prison conditions in Massachusetts and Europe change American beliefs? She argued that poverty causes lawbreaking. She argued th
What does groundwater naturally contain that allows it to dissolve limestone and form caverns?
A geometric sequence is defined by a the recursive formula t1 = 243, tn + 1 = tn 3 , where n ∈N and n ≥ 1. The general term of the sequence is
Which accurately describes the handling of urea by the kidney?