Question

Express 16 ^24 in exponential form with base 2 ​

Answer 1

Answer:

2^96

Step-by-step explanation:

16 = 2^4

so, 16^24 = (2^4)^24

=2^(4x24)

=2^96

Answer 2

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,

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

$(16 {}^{4} ) {}^{24} = 2 {}^{96}$

Now its base is 2

So,

a

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