# USING REPEATED MULTIPLICATION

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 :

## Using repeated multiplication - Examples

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 b

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

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