The number 2^1993 + 3^1993 is a multiple of 5. What is the units digit of the quotient (2^1993 + 3^1993)/5?

Question

02-01-2020
Mathematics

contestada

The number 2^1993 + 3^1993 is a multiple of 5. What is the units digit of the quotient (2^1993 + 3^1993)/5?

Respuesta :

Otras preguntas

The value of a car t years after it is purchased is given by the decreasing function V, where V(t) is measured in dollars. The rate of change of the car’s value

1. Barry met with his company’s benefit manager to sign up for the health insurance provided through his employer. He had worked for the firm for over 2 years,

I NEED HELP ASAP!!!!!!!Which of the following results is NOT a way that trade can benefit all parties involved?A Trade can encourage economic growth for both si

What was the role of the US government in the banking industry at beginning of the Depression?

how do plants grow without sunlight

can somebody help me with these 3 problems

Did anyone else get charged $25 for 1 month? I thought it was $2 per month & $25 per year. >>>How do I get my refund?? <<

On January 2, 2018, Hernandez, Inc. signed a 10-year noncancelable lease for a heavy duty drill press. The lease stipulated annual payments of $300,000 starting

Banks pay interest to customers through a what

abidemiokin abidemiokin · Answer 1 · 2020-01-03T14:22:06+01:00

Answer: The unit digit of the quotient is 1.

Step-by-step explanation:

Since the number 2^1993 + 3^1993 is a multiple of 5, this means that no matter the value of the answer to the equation, the last digit will be 5 (we call the last digit of any number its "unit digit").

Since the unit digit of 2^1993 + 3^1993 is 5, if the unit digit is divided by 5 i.e 5/5, it will give us 1.

We will only consider the last digits of the multiple of 5 as our numerator