Exercise 3 Page 225

To simplify the given expression, we will cancel out the common factors and then reduce fraction by dividing numerator and denominator by a common factor. Let's do it!

- 24x^8y^5z/16x^2y^8z^6

WriteProdFrac

Write as a product of fractions

- 24/16* x^8/x^2* y^5/y^8* z/z^6

ReduceFrac

a/b=.a /8./.b /8.

- 3/2* x^8/x^2* y^5/y^8* z/z^6

DivPow

a^m/a^n= a^(m-n)

- 3/2* x^(8-2)* y^(5-8)* z^(1-6)

SubTerms

Subtract terms

- 3/2* x^6* y^(- 3)* z^(- 5)

NegExponentToFrac

a^(- m)=1/a^m

- 3/2* x^6* 1/y^3* 1/z^5

MoveRightFacToNum

a/c* b = a* b/c

- 3x^6/2* 1/y^3* 1/z^5

MultFrac

Multiply fractions

- 3x^6/2y^3z^5