HOW TO WRITE EXPRESSIONS USING EXPONENTS

The exponent of a number tells us how many times the number is multiplied by itself.

Example : 

We can write expressions in simplest form using exponents. 

Example 1 :

Rewrite (m ⋅ m ⋅ m ⋅ m) in simplest form using an exponent.  

Solution :

m is multiplied by itself for four times. 

m ⋅ m ⋅ m ⋅ m  =  m⁴

Example 2 :

Rewrite (5 ⋅ 5 ⋅ 5) in simplest form using an exponent.  

Solution :

5 is multiplied by itself for three times. 

5 ⋅ 5 ⋅ 5  =  5³

Example 3 :

Rewrite (7 ⋅ 7 ⋅ 5 ⋅ 5 ⋅ 5) in simplest form using exponents.

Solution :

7 is multiplied by itself for two times and 5 is multiplied by itself for three times. 

7 ⋅ 7 ⋅ 5 ⋅ 5 ⋅ 5  =  7² ⋅ 5³

Example 4 :

Rewrite (13 ⋅ b ⋅ b ⋅ b ⋅ b) in simplest form using exponents. 

Solution :

13 comes once and b is multiplied by itself for four times. 

13 ⋅ b ⋅ b ⋅ b ⋅ b  =  13b⁴

Example 5 :

Rewrite (17 ⋅ 17 ⋅ w ⋅ w ⋅ w) in simplest form using exponents.  

Solution :

17 is multiplied by itself for two times and w is multiplied by itself for three times. 

17 ⋅ 17 ⋅ w ⋅ w ⋅ w  =  17²w³

Example 6 :

Rewrite (5 ⋅ 5 ⋅ p ⋅ p ⋅ p ⋅ p ⋅ p) in simplest form using exponents.

Solution :

5 is multiplied by itself for two times and p is multiplied by itself for five times. 

5 ⋅ 5 ⋅ p ⋅ p ⋅ p ⋅ p ⋅ p  =  5²p⁵

Example 7 :

Rewrite (n ⋅ n ⋅ n ⋅ b ⋅ b) in simplest form using exponents.

Solution :

n is multiplied by itself for three times and b is multiplied by itself for two times. 

n ⋅ n ⋅ n ⋅ b ⋅ b  =  n³b²

Example 8 :

Rewrite (9 ⋅ 9 ⋅ 9 ⋅ c) in simplest form using an exponent.

Solution :

9 is multiplied by itself for three times and c comes once. 

9 ⋅ 9 ⋅ 9 ⋅ c  =  9³c

Example 9 :

Rewrite (4 ⋅ 4 ⋅ 4 ⋅ k ⋅ k) in simplest form using exponents.

Solution :

4 is multiplied by itself for three times and k is multiplied by itself for two times . 

4 ⋅ 4 ⋅ 4 ⋅ k ⋅ k  =  4³k²

Example 10 :

Rewrite (2 ⋅ 2 ⋅ r ⋅ r ⋅ r) in simplest form using exponents.

Solution :

2 is multiplied by itself for two times and r is multiplied by itself for three times . 

2 ⋅ 2 ⋅ r ⋅ r ⋅ r  =  2²r³

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