**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.

**Question 1 : **

Express m x m x m x m in exponential form.

**Solution :**

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

**Question 2 :**

Express 5 x 5 x 5 in exponential form.

**Solution :**

Here 5 is repeating 3 times. To write 5 x 5 x 5 in the exponential form we have to write it as 5³

**Question 3 :**

Express 7 x 7 x 5 x 5 in exponential form.

**Solution :**

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

Hence, the answer is 7² x 5²

Let us see the next question on "Using exponents"

**Question 4 :**

Express 13 x b x b x b x b in exponential form

**Solution :**

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

Hence, the exponential form of 13 x b x b x b x b is 13 b⁴

Let us see the next question on "Using exponents"

**Question 5 :**

Express 17 x 17 x w x w x w in exponential form

**Solution :**

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

**Question 6 :**

Express 5 x 5 x p x p x p in exponential form

**Solution :**

5 x 5 = 5²

p x p x p = p³

Hence, the exponential form of 5 x 5 x p x p x p = 5²x p³

**Question 7 :**

Express n x n x n x b x b in exponential form

**Solution :**

n x n x n = n³

b x b = b²

Hence, the exponential form n x n x n x b x b is n³b²

**Question 8 :**

Express 9 x 9 x 9 x c in exponential form

**Solution :**

9 x 9 x 9 = 9³

Hence, the exponential form 9 x 9 x 9 x c is 9³ c

**Question 9 :**

Express 4 x 4 x 4 x k x k in exponential form

**Solution :**

4 x 4 x 4 = 4³

k x k = k²

Hence, the exponential form of 4 x 4 x 4 x k x k is 4³x k²

**Question 10 :**

Find the value of 2 x 2 x 2 x r x r

**Solution :**

2 x 2 x 2 = 2³

r x r = r²

Hence, the exponential form of 2 x 2 x 2 x r x 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 "Using exponents".

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