# WRITE THE GIVEN EXPRESSION IN EXPONENTIAL FORM

## How to write the given expression in exponential form ?

To represent the given expression in simplest form, we must learn the concept of writing the given expression in exponential form.

9 ⋅ 9 ⋅ 9 ⋅ 9 ⋅ 9 ⋅ 9 ⋅ 9 ⋅ 9

In the given expression, we have 8 similar values which are multiplying, to represent the given in exponential form, we write the base once and number of times repeating as the power. Let us see some more examples. So, exponential form of the given expression is

= 9⁸

**Example 1 :**

Express the following in power notation

(-2/7) ⋅ (-2/7) ⋅ (-2/7)

**Solution :**

Here we have -2/7. which are multiplying three times. So, we write

(-2/7)³

**Example 2 :**

Express the following in power notation

7 ⋅ a ⋅ b ⋅ p ⋅ y ⋅ y

**Solution :**

Terms repeating once = 7, a, b and p. Terms repeating twice is y. So, the exponential form of the given expression 7 ⋅ a ⋅ b ⋅ p ⋅ y ⋅ y is abpy²

**Example 3 :**

Express the following in exponential form

13 ⋅ d ⋅ d ⋅ d ⋅ d ⋅ t ⋅ t ⋅ p ⋅ p ⋅ p

**Solution :**

Here d is repeating 4 times, t is repeating 2 times and p is repeating 3 times. So, we may write the given in the exponential form

13 d⁴ t² p³

**Example 4 :**

Express the following in exponential form

17 ⋅ a ⋅ b ⋅ b ⋅ b ⋅ c ⋅ d ⋅ d ⋅ d ⋅ d

**Solution :**

Here 17, a and c are repeating once, b is repeating 3 times and d is repeating 4 times. So, the required exponential form is

17 a c b³ d⁴

**Example 5 :**

Express the following in exponential form

11 ⋅ b ⋅ c ⋅ c ⋅ c ⋅ d ⋅ z ⋅ z ⋅ z ⋅ z ⋅ z

**Solution :**

Here 11, b and d are repeating once, c is repeating 3 times and z is repeating 5 times. So, the required exponential form is

11 b d c³ z⁵

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