## About "Multiply and divide monomials"

Multiply and divide monomials :

On the web page multiply and divide monomials, we are going to see how to multiply and divide monomials.

Example 1 :

Simplify Express your answer using positive exponents

Solution :

Step 1 :

We can simplify the numerator 6 and denominator 3  using three times table. 6 goes into 3 two times.

Step 2 :

So far we have (8 s² x 2 s)/s⁶.

=  16 s² x s x s

=  16 s^(2 + 1 - 6)

=  16 s^(- 3)

Hence 16/s³ is the answer.

Example 2 :

Simplify Express your answer using positive exponents

Solution :

x - stands for multiplication

Step 1 :

=  (3/2) x n^5 x n^10 x n^-3

Step 2 :

=  (3/2) x n^(5 + 10 - 3)

=  (3/2) x n^12

Hence 3/2n¹² is the answer.

Example 3 :

Simplify Express your answer using positive exponents

Solution :

x - stands for multiplication

Step 1 :

We can simplify 6 and 3 using three times table. 6 goes into 3 two times.

=  (2 x i^9)/(i^3 x 5i^4)

Step 2 :

=  (2/5)[ i^9/i^(4+3) ]

=  (2/5) (i^9/i^7)

=  (2/5) (i^9 i^-7)

=  (2/5) x i^(9-7)

=  (2/5) x i^2

Hence 2i²/5  is the answer.

Example 4 :

Simplify Express your answer using positive exponents

Solution :

x - stands for multiplication

Step 1 :

We can simplify 8 and 6 using two times table.

=  (3 h^5) / (4 h^2 x h^3)

Step 2 :

=  (3 h^5) / [4 h^(2+3)]

=  (3/4) h^5 h^(-5)

=  (3/4) h^(5 - 5)

=  (3/4) h^0

=  3/4

Hence 3/4 is the answer.

Example 5 :

Simplify Express your answer using positive exponents

Solution :

x - stands for multiplication

Step 1 :

=  [(9x8) / 7]  x [(w^4 w) / w^6]

=  (72/7)  x [(w^4 w) / w^6]

Step 2 :

=  (72/7)  x [w^4 w^1 x w^(-6)]

=  (72/7)  x [w^(4 + 1 - 6)]

=  (72/7)  x [w^(-1)]

72 / 7w

Hence, 72/7w is the answer.

After having gone through the stuff given above, we hope that the students would have understood "Multiply and divide monomials".

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