**Using repeated multiplication :**

To find the value of a number written in the exponential form, rewrite the number as repeated multiplication and perform multiplication. Let us look into the example to understand this concept.

5³ = 5 x 5 x 5

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

Here, 5 is known as base and 3 is known as power. To find the value of 5³, we have to multiply 5 three times.

**Common mistakes done by some students :**

**Question 1 : **

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

**Solution :**

Here, m is repeating 2 times. To write m x m in the exponential form, we have to write it as m².

Like that n is also repeating 2 times. To write n x n in the exponential form, we have to write it as n²

Hence, the exponential form of m x m x n x n = m² x n²

**Question 2 :**

Find the value of 7 x 7 x 5 x 5

**Solution :**

Hence, the value of 7 x 7 x 5 x 5 is 1225.

**Question 3 :**

Find the value of 5 x 5 x 5

**Solution :**

The value of 5 x 5 x 5 is 125.

**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. So the answer will be 13 b⁴

**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. So the answer will be 17² w³

**Question 6 :**

Find the value of 5 x 5 x p x p x p

**Solution :**

5 x 5 = 25

p x p x p = p³

Hence, the value of 5 x 5 x p x p x p = 25 p³

**Question 7 :**

Find the value of n x n x n x b x b

**Solution :**

n x n x n = n³

b x b = b²

Hence, the value of n x n x n x b x b = n³b²

**Question 8 :**

Find the value of 9 x 9 x 9 x c

**Solution :**

9 x 9 x 9 = 729

Hence, the value of 9 x 9 x 9 x c = 729 c

**Question 9 :**

Find the value of 4 x 4 x 4 x k x k

**Solution :**

4 x 4 x 4 = 64

k x k = k²

Hence, the value of 4 x 4 x 4 x k x k = 64 k²

**Question 10 :**

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

**Solution :**

2 x 2 x 2 = 8

r x r = r²

Hence, the value of 2 x 2 x 2 x r x r = 8 r²

- 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

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