O P Malhotra, S K Gupta and, Anubhuti Gangal Solutions for Chapter: Exponents, Exercise 5: Exercise

The sun is the centre of our solar system. The sun is the star closest to our planet. The surface temperature of the sun is close to $10,000°\mathrm{F}$. Write $10,000$ using exponents.

To save money for a video game, Ajay puts $1$ rupee in an envelope. Each for $8$ days he doubles the number of rupees from the day before. How much will be saved on the eighth day?

In Kalpana's school, one person will contact $4$ people and each of those people will $4$ other people, and so on. How many people will be contacted in the fifth round?

The population of a certain town triples every decade. If the population in $2000$ was $45000$, how many people will be living in this town in $2050?$

A painting is made of $3$ concentric squares. The side length of the largest square is $24 \mathrm{cm}$. What is the area of the painting?

Prabha wants to predict the number of hits she will get on her web page. Her web page received $3$ hits during the first week it was posted. If the number of hits triples every week, how many hits will the web page receive during the $8^{\mathrm{th}}$ week?

On Monday, Renu tells $3$ people a secret. The next day each of them tells $3$ more people. If this pattern continues, how many people besides Renu will know the secret next Monday.

Bacteria can divide every $20$ minutes, so $1$ bacterium can multiply to $2$ in $20$ minutes, $4$ in $40$ minutes, and so on. How many bacteria will there be in $6$ hours? Write your answer using exponents, and then evaluate.