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Small Town USA has a population of 4•10 to the power of 4. Big town has a population of 2•10 to the power of 5. How many times larger is Big town’s population than Small Town’s

Small Town USA has a population of 4•10 to the power of 4. Big town has a population of 2•10 to the power of 5. How many times larger is Big town’s population t class=

Answer :

Big town is 5.121 times larger than Small town.

Step-by-step explanation:

Step 1:

In order to determine how much larger Big town's population is to Small town's population is, we need to convert the exponentials into actual numbers.

Small town's population [tex]= 4.10\times 10^{4} = 41,000.[/tex]

Big town's population [tex]= 2.10\times 10^{5} = 210,000.[/tex]

Step 2:

In order to determine how much larger Big town's population is to Small town's population is, we divide Big town's population by Small town's population.

[tex]\frac{210,000}{41,000} = 5.121.[/tex]

So Big town is 5.121 times larger than Small town.

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