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Leona [35]
3 years ago
9

Please apply the properties of rational exponents to simplify expressions with radical or rational exponents. Explain the steps

so that I understand because this is for my notes. Thank you for your time, the properties and problems to apply them to will be below.

Mathematics
1 answer:
schepotkina [342]3 years ago
6 0

Step-by-step explanation:

<u>Product property</u>

  • If the bases are the same, you don't multiple them. However, if they are the same, you do multiple for example : (2³ * 2¹ = 2⁴.when the bases are the same) (2³ * 3¹ =6⁴. When the bases are not the same
  • We add the index.

<u>Quotient</u><u> </u><u>property</u>

  • Same here, if the bases are the same, they stay the way they were
  • We subtract the index

<u>Power</u><u> </u><u>property</u>

  • Here we multiple the index because of the bracket for example : (9²)²= 9⁴

<u>Negetive</u><u> </u><u>exponent</u><u> </u><u>property</u>

  • When ever the index has a negative sign its convected to a fraction, for instance : 9¯² = 1 /9²
  • Note, when it turns to a fraction th index becomes positive
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In 90 minutes the population to grow to 700 organisms.

Given that,

A strand of bacteria has a doubling time of 15 minutes.

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We have to determine,

How long would it take for the population to grow to 700 organisms?

According to the question,

A strand of bacteria has a doubling time of 15 minutes.

If the population starts with 10 organisms.

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In 15 minutes 20 bacteria for the population to grow.

In 30 minutes strand of bacteria has a doubling time the population starts with 20 organisms.

\rm = 20 \times 2 = 40 \ bacteria

In 30 minutes 40 bacteria for the population to grow.

In 45 minutes strand of bacteria has a doubling time the population starts with 40 organisms.

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In 45 minutes 80 bacteria for the population to grow.

In 60 minutes strand of bacteria has a doubling time the population starts with 80 organisms.

\rm = 80 \times 2 = 160 \ bacteria

In 60 minutes 160 bacteria for the population to grow.

In 75 minutes strand of bacteria has a doubling time the population starts with 160 organisms.

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In 75 minutes 320 bacteria for the population to grow.

In 90 minutes strand of bacteria has a doubling time the population starts with 320 organisms.

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For more details refer to the link given below.

brainly.com/question/3188472

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