How do you simplify #\frac { 3y ^ { - 2} } { ( 2y ) ^ { 3} }#?

Question

414 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-01-02T02:54:21

First, expand the term in the denominator and then factor the numerator and denominator using the rules for exponents.

Step 1) Expand the term in the denominator using the following rule for exponents:

#color(red)((x^a)^b = x^(a*b))# and

#color(red)(x =x^1)#

#(3y^-2)/(2^3y^(1*3))#

#(3y^-2)/(8y^3)#

We can now simplify the #y# terms using this rule for exponents:

#color(red)(x^a/x^b = 1/x^(b-a))#

#3/(8y^(3- -2)#

#3/(8y^5)#