Express 16 ^24 in exponential form with base 2

1.	Express 16 ^24 in exponential form with base 2
Answer» SOLUTION:- We have to write 16²⁴ in EXPONENTIAL FORM with base 2 16 can be written as 16 = 2 × 8 16 = 2 × 4 × 2 16 = 2 × 2 ×2 ×2 16 = 2⁴ So, 16²⁴ = (2⁴)²⁴ It is in form of $(a {}^{m} ) {}^{n} \: = a {}^{mn}$ So, $(16 {}^{4} ) {}^{24} = 2 {}^{4 \times 24}$ $(16 {}^{4} ) {}^{24} = 2 {}^{<klux>96</klux>}$ Now its base is 2 So, a Exponential form of 2⁹⁶ = 2 × 2 × 2 ×2 ×2 ×2 ...× 2 ...96 times

Answer»

We have to write 16²⁴ in EXPONENTIAL FORM with base 2

16 can be written as

16 = 2 × 8

16 = 2 × 4 × 2

16 = 2 × 2 ×2 ×2

16 = 2⁴

So,

It is in form of

$(a {}^{m} ) {}^{n} \: = a {}^{mn}$

So,

$(16 {}^{4} ) {}^{24} = 2 {}^{4 \times 24}$

$(16 {}^{4} ) {}^{24} = 2 {}^{<klux>96</klux>}$

Now its base is 2

So,

Exponential form of 2⁹⁶ = 2 × 2 × 2 ×2 ×2 ×2 ...× 2 ...96 times

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