# Pre-algebra : Factoring Monomials, Greatest Common Factor, Lowest Common Multiple and Simplifying Fractions and Expressions (10 problems)

1-Factor the monomial into its smallest factors.

a-14xy to the power of 2 z

b-40n to the power of 3 m to the power of two

2-Find the GCF and the LCM

1-24c to the power of two d to the power of two, 48c to the power of 3d

3- Simplify each fraction

a- 13ab/26a

b- 42xyz to the power of 4/36y to the power of two z

4- Simplify the expressions

1-x to the power of 73 /x to the power of 26

2-8 to the power of 5 n to the power of 7 m to the power of 9/8 to the power of 3nm to the power of 5

5-complete

1- 4 to the power of negative 1

2-4 to the power of negative 2

3-4 to the power of negative 3

https://brainmass.com/math/basic-algebra/factoring-monomials-greatest-common-factor-lowest-common-63964

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1-factor the monomial into its smallest factors.

a-14xy to the power of 2 z

b-40n to the power of 3 m to the power of two

Solution:

a) (14xy)^2z

(14xy)^z times (14xy)^z

So, the smallest factor is (14xy)^z

3

b) (40n) * m^2

= (40)^3 * n^3 * m^2 [ (40)^3 = 40*40*40 = 64000]

Ans = 64000 n^3 m^2

2-find the GFC and the ...

#### Solution Summary

Ten problems involving Factoring Monomials, Greatest Common Factor, Lowest Common Multiple and Simplifying Fractions and Expressions are solved.