How would i reduce 10/100 with the work problem to go with it

1/10

Step-by-step explanation:

First step is to find the GCF (greatest common factor) of the two numbers 10 and 100. The GCF here is 10 as it is the largest common factor between the two values. Use a factor tree to find this.

Next, divide both parts by the GCF

10/10 = 1

100/10 = 10

So 10/100 reduces to 1/10.

take the logarithm of both sides (the base of the log doesn't matter):

apply the exponent property - this says that :

distribute the log terms on both sides:

group like terms together:

divide through both sides by the coefficient on :

you can do some additional rewriting here using the properties of the logarithm to simplify things if you like: