# FINDING THE VALUE OF EACH POWER

Finding the value of each power :

To find the value of a power, remember that the exponent indicates how many times to use the base as a factor.

Let us look into the example given below to understand the concept. ## Finding the value of each power - Examples

Problem 1 :

Find the value of 8³

Solution :

To find the value of 8³, we have to multiply the base 3 times.

That is,

8³  =  8 x 8 x 8

=  512

Problem 2 :

Find the value of (1/4)²

Solution :

To find the value of (1/4)², we have to multiply the base 2 times.

That is,

(1/4)²  =  (1/4) x (1/4)

=  1/16

Problem 3 :

Find the value of (1/3)³

Solution :

To find the value of (1/3)³, we have to multiply the base 3 times.

That is,

(1/3)³  =  (1/3) x (1/3) x ( 1/3)

=  1/27

Problem 4 :

Find the value of (6/7)²

Solution :

To find the value of (6/7)², we have to multiply the base 2 times.

That is,

(6/7)²  =  (6/7) x (6/7)

=  36/49

Problem 5 :

Find the value of (0.5)³

Solution :

To find the value of (0.5)³, we have to multiply the base 3 times.

That is,

(0.5)³  =  0.5 x 0.5 x 0.5

=  0.125

Problem 6 :

Find the value of (1.1)²

Solution :

To find the value of (1.1)², we have to multiply the base 2 times.

That is,

(1.1)²  =  1.1 x 1.1

=  1.21

Problem 7 :

Find the value of (1/2)

Solution :

The value of any non zero number raised to the power zero is 1.

That is,

(1/2)⁰  =  1

Problem 8 :

Find the value of 2¹

Solution :

Since the power is 1, we have to repeat the base 1 time

That is,

2¹  =  2

Problem 9 :

Find the value of (2/5)²

Solution :

To find the value of (2/5)², we have to multiply the base 2 times.

That is,

(2/5)²  =  (2/5) x (2/5)

=  4/25

Problem 10 :

Find the value of (-3)²

Solution :

To find the value of (-3)², we have to multiply the base 2 times. Since the power is even, the answer will be positive. We can just multiply the base without symbol.

So,

(-3)²  =  3 x 3

=  9

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