**Using exponents :**

The exponents of a number says how many times to use the number in a multiplication.

5³ = 5 x 5 x 5

In words 5³ could be called as 5 to the power 3 or 5 cube**.**

Exponents are simply a shorthand notation for multiplying the same number by itself several times .

We can use powers for repeated multiplication. Let us look into the example to understand above stuff.

**Example 1 :**

Express m **⋅** m **⋅** m **⋅** m in exponential form.

**Solution :**

Here, m is repeating 4 times. Instead of writing m **⋅** m **⋅** m **⋅** m, we can simply write m⁴

**Example 2 :**

Express 5 **⋅** 5 **⋅** 5 in exponential form.

**Solution :**

Here 5 is repeated 3 times. To write 5 **⋅ **5 **⋅ **5 in the exponential form we have to write it as 5³

**Example 3 :**

Express 7 **⋅** 7 **⋅** 5 **⋅** 5 in exponential form.

**Solution :**

Here, 7 is repeated 2 times and 5 is also repeating 2 times .

Hence, the answer is 7² x 5²

**Example 4 :**

Express 13 **⋅** b **⋅ **b **⋅** b in exponential form

**Solution :**

Here, 13 is not repeated and b is repeated 4 times.

Hence, the exponential form of 13 **⋅** b **⋅** b **⋅** b is 13 b⁴

**Example 5 :**

Express 17 **⋅** 17 **⋅** w **⋅** w **⋅ **w** **in exponential form

**Solution :**

Here, 17 is repeated twice and w is repeated 3 times. Hence, the exponential form of given expression is 17² w³

**Example 6 :**

Express 5 **⋅** 5 **⋅** p **⋅** p **⋅ **p in exponential form

**Solution :**

5 **⋅** 5 = 5²

p **⋅** p **⋅** p = p³

Hence, the exponential form of 5 **⋅** 5 **⋅** p **⋅** p = 5² p³

**Example 7 :**

Express n **⋅** n **⋅** n **⋅** b **⋅** b in exponential form

**Solution :**

n **⋅** n **⋅ **n = n³

b **⋅** b = b²

Hence, the exponential form **⋅** n **⋅** n **⋅** b **⋅** b is n³b²

**Example 8 :**

Express 9 **⋅** 9 **⋅** 9 **⋅** c in exponential form

**Solution :**

9 **⋅** 9 **⋅** 9 = 9³

Hence, the exponential form 9 **⋅** 9 **⋅** 9 **⋅** c is 9³ c

**Example 9 :**

Express 4 **⋅** 4 **⋅** 4 **⋅** k **⋅ k** in exponential form

**Solution :**

4 **⋅** 4 **⋅** 4 = 4³

k **⋅ **k = k²

Hence, the exponential form of 4 **⋅** 4 **⋅** 4 **⋅** k **⋅ k** is 4³ k²

**Example 10 :**

Find the value of 2 **⋅** 2 **⋅ **2 **⋅** r **⋅** r

**Solution :**

2 **⋅** 2 **⋅ **2 = 2³

r **⋅** r = r²

Hence, the exponential form of 2 **⋅** 2 **⋅ **2 **⋅** r **⋅** r is 2³r²

- Generating equivalent numerical expressions
- Use repeated multiplication
- Division facts
- Exponents
- Using exponents
- Finding the value of a power
- Finding the value of each power
- Find the missing exponent
- Find the missing base
- Finding the factors of a number
- Finding the prime factorization of a number
- using ladder diagram for prime factorization
- Order of operations
- Exploring the order of operations
- Evaluating the numerical expression
- Using exponents with parentheses

After having gone through the stuff given above, we hope that the students would have understood "How to write expressions using exponents".

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