SOLUTION: How do you simplify this question?? Use the properties of exponents to simplify the seemingly unsimplifiable: 486(power 38) Over 3(power 187) Your final answer should be

Question 504861: How do you simplify this question??
Use the properties of exponents to simplify the seemingly unsimplifiable:
486(power 38)
Over
3(power 187)
Your final answer should be in scientific notation
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
486 = 3^5 * 2
your equation of:
486^(38) / 3^187 becomes:
(3^5*2)^38 / 3^187 which becomes:
(3^(5*38)*2^38) / 3^187 which becomes:
3^190*2^38 / 3^187 which becomes:
3^(190-187)*2^38 which becomes:
3^3 * 2^38 which becomes:
7.42170349 * 10^12
here's a picture of how it would look if done by hand.
$$$$$

the key was in getting the numerator to have a base of 3.
successive divisions of 486 by 3 yielded 5 divisions yielding a last factor of 2.
that led to 486 = 3^5*2
from there on it was laws of exponents all the way.
x^a * x^b = x^(a+b)
(x^a)^b = x^(a*b)
x^a/x^b = x^(a-b)

RELATED QUESTIONS
How do you simplify this question?? Use the properties of exponents to simplify the... (answered by rfer)

How do you simplify the problem,(8ab) to the power of two multiplyed by 4a to the 9th... (answered by Mathtut)

how do i simplify the properties of rational... (answered by user_dude2008)

USE PROPERTIES OF EXPONENTS TO SIMPLIFY EACH OF THE EXPRESSIONS. (XY^-3)^3... (answered by solver91311)

Use the properties of exponents to simplify the following:... (answered by josh_jordan,MathTherapy)

Use the properties of exponents to simplify... (answered by rapaljer)

How do I simplify, instructions are "use rational exponents to simplify" this please: (answered by ankor@dixie-net.com)

using the 5 properties of exponents simplify the following (y5)3is aboove(y3)2 is... (answered by rapaljer)

Use the properties of exponents to simplify the expression. Write the answer with... (answered by Fombitz)