Aguilar4705
Aguilar4705 Aguilar4705
  • 16-08-2019
  • Mathematics
contestada

Question 2 Multiple Choice Worth 4 points)
SS
Simplify 5^3 / 5^8

A. 1 / 5^3

B. 5^3

C. 1 / 25

D. 1 / 5-^3

Respuesta :

gmany
gmany gmany
  • 16-08-2019

Answer:

[tex]\large\boxed{5^{-5}=\dfrac{1}{5^5}}[/tex]

Step-by-step explanation:

[tex]\text{Use}\ \dfrac{a^n}{a^m}=a^{n-m}\\\\\dfrac{5^3}{5^8}=5^{3-8}=5^{-5}\qquad\text{use}\ a^{-n}=\dfrac{1}{a^n}\\\\=\dfrac{1}{5^5}[/tex]

Based on the correction of the question in the comment.

[tex]\dfrac{5^5}{5^8}=5^{5-8}=5^{-3}=\dfrac{1}{5^3}[/tex] → A

Answer Link

Otras preguntas

Maurice has 76 postcards in all. The ratio of the number of postcards he has received to the number of postcards he has bought is 3:1. How many more postcards h
Your wife Marta is thirty years old. She is ________ hardworking. (1 point) a a woman b a great-grandmother c a granddaughter d a girl
The surface of the shelf has an area of 90 square inches. The width of the shelf is 6 inches. What is the length of the shelf?
Please help! I need this finished by tonight!
paying 50 usd to anyone who helps​
I need help with this problem can someone please help
What struggles did Native Americans faced in the battle of Little Bighorn
1. A car is worth $50,000 brand new and it will lose 10% of its value each year. At this rate how much will the car be worth after 10 years?
Which of the following shows the correct order for -1 2/5, (-1)^2, -1 bar 4 and (1/2)^2
square root -40 divided by square root -4 What is the answer?