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 terroist organization emerged after the civil war
Balance sheet and income statement data indicate the following: Bonds payable, 6% (due in 15 years) $1,106,989 Preferred 8% stock, $100 par (no change during
Explain the differences between one-, two-, three-, and four-point perspective drawings.
y is directly proportional to x^ . if y=12 when x=2 find, y when x=5
Let A be a 3 X 4 matrix. If b = a1 + a2 + a3 + a4 then what can you conclude about the number of solutions of the linear system Ax=b? Explain.
Evaluate 2^−4/4^0. Write your answer as a fraction in simplest form.
slope intercept form of a line that has a slope of -3/4 and passes through (4, 3)
help math 10 points pls due in 5 min
If it is 5 miles to the nearest store, and my dad walks 4 mp/h, why has it taken him 14 years to come back?
A municipal bond carries a coupon rate of 6.50% and is trading at par. What would be the equivalent taxable yield of this bond to a taxpayer in a 35% combined t