Question

Write the following numbers in exponential form.Also state the base,exponent and how it is read
(i)32 (ii)64 (iii)256 (iv)243(v)49

Answer 1

Exponential form of the given numbers:

(i) 32

    32 = 2x16

         = 2x2x8

         = 2x2x2x4

         = 2x2x2x2x2

         = $2^{5}$

   Here base = 2, power = 5

   It is read as 2 raised to the power of 5.

(ii) 64

     64 = 2x32

         = 2x2x16

         = 2x2x2x8

         = 2x2x2x2x4

         = 2x2x2x2x2x2

         = $2^{6}$

   Here base = 2, power = 6

   It is read as 2 raised to the power of 6.

(iii) 256

     256 = 2x128

            = 2x2x64

            = 2x2x2x32

            = 2x2x2x2x16

            = 2x2x2x2x2x8

           = 2x2x2x2x2x2x4

           = 2x2x2x2x2x2x2x2

           = $2^{8}$

   Here base = 2, power = 8

   It is read as 2 raised to the power of 8.

(iv) 243

     243 = 3x81

             = 3x3x27

             = 3x3x3x9

             = 3x3x3x3x3

             = $3^{5}$

    Here base = 3, power = 5

    It is read as 3 raised to the power of 5.

(v) 49

    49 = 7x7

         = $7^{2}$

    Here base = 7, power = 2

    It is read as 7 raised to the power of 2.

Answer 2

Answers

I) Base = 2 ,exponent = 5

it is read as 2 raised to the power of 5

ii) Base = 2, exponent = 6

it is read as 2 raised to the power of 6

ii) Base= 2 exponent= 8

it is read as 2 raised to the power of 8

iv) Base = 3 , Power = 5

it is read as 3 raised to the power of 5

v) Base = 7 , exponent = 2

it is read as 7 raised to the power of 2

so this is the answer

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