Question

What is the value of 2¹⁰⁰??

Answer with explanation ​

Answer 1

Given:-

• ${2}^{100}$

To find:-

• Value of 2 raise to the power 100.

Laws of exponent used:-

$\large \blue{\underline{ \green{ \boxed{\bf{ \red{ \implies( {a}^{m} )^{n} = {a}^{mn} }}}}}}$

Solution:-

We have to find the value of 2 raise to the power 100.We can use the given law to find the result.

$\large\underline{\bf{ \implies {2}^{100} \: can \: be \: written \: as :}}$

$\large\underline{\bf{ \implies( {2}^{10}) ^{10 } }}$

$\large\underline{\bf{ \implies(2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2)^{10} }}$

$\large\underline{\bf{ \implies{1024}^{10} }}$

$\large\underline{\bf{ \implies 1,267,650,600,228,229,401,496,703,205,376}}$

The results is very large so we will convert it in exponential form.

$\large \blue{\underline{ \green{ \boxed{\bf{ \red{\maltese1.2676506002 × 10 ^{30} }}}}}}$

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Basic concept:-

• We can write very large numbers in terms of exponent.
• We can use exponent to compare many things such as:-

1. Distance between earth and sun.
2. Distance between Sun and Neptune.
3. Size of a microscopic bacteria.

Answer 2

Risk-adaptation theory assumes that road users implicitly evaluate their risks by oppositely oriented, single-peaked valence functions of arousal and fear sensations as dependent aspects of risks in road traffic.