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il63 [147K]
3 years ago
11

What does 4^8/4^-2 equal?

Mathematics
2 answers:
viva [34]3 years ago
8 0

Answer:

Hello there I'm Ashlynn It's lovely to meet you

___________________________________________

(4^8) / (4^(-2)) = 1, 048, 576

___________________________________________

<em>“Never give up, for that is just the place and time that the tide will turn.” – </em><em>Harriet Beecher Stowe</em>

Sonbull [250]3 years ago
4 0

Answer:

4^10 (base 4)

2^20 (base 2)

Step-by-step explanation:

Law of Exponent:

\displaystyle \large{ \frac{ {a}^{m} }{ {a}^{n} } =  {a}^{m - n}  }

Compare:

\displaystyle \large{ \frac{ {a}^{m} }{ {a}^{n} } = \frac{ {4}^{8} }{ {4}^{  - 2} }   }

  • a = 4
  • m = 8
  • n = -2

Therefore:

\displaystyle \large{  \frac{ {4}^{8} }{ {4}^{  - 2} }   =  {4}^{8 - ( - 2)}  } \\  \displaystyle \large{  \frac{ {4}^{8} }{ {4}^{  - 2} }   =  {4}^{8  + 2}  } \\  \displaystyle \large{  \frac{ {4}^{8} }{ {4}^{  - 2} }   =  {4}^{10}  }

Althought you didn't specific if I should leave answer as base 4 or base 2.

If you want the answer in base 2.

From:

\displaystyle \large{   {4}^{10}  =  { ({2}^{2}) }^{10}  }

Law of Exponent II

\displaystyle \large{  { ({a}^{m} )}^{n}   =  {a}^{m \times n}  }

Apply the law:

\displaystyle \large{   {4}^{10}  =  { ({2}^{2}) }^{10}  } \\  \displaystyle \large{   {4}^{10}  =  {2}^{20}  }

Thus, in base 2 form, it's 2^20

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There are 1,217 students and 75 teachers eating lunch in a cafeteria. Of those people, 562 are drinking chocolate milk. The rest
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Answer: When Rebecca Hodges sent her son to Pre-K in Brooklyn, she was excited for the year to come—full of learning adventures and making new friends. While his education got off to a strong start, Hodges quickly realized something was wrong.

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Hodges discovered her son was drinking two boxes of chocolate milk a day, each with 20 grams of total sugar, 12 grams of natural sugar from lactose and 8 grams of added sugar. Those 8 grams of added sugar add up to almost one third of a child’s daily sugar allowance according to the American Heart Association and the World Health Organization, which both recommend that children limit sugar to 5 percent of their daily intake —about 6 teaspoons or 25 grams — of added sugar per day.

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In the state of New York, childhood obesity has tripled over the past three decades. In New York City, 40 percent of NYC public school students aged 6 to 12 are overweight or obese. While NYC’s overweight and obesity numbers have been relatively constant over the last 5 years, in communities with underserved populations obesity is on the rise.

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Research also suggests that consuming sweetened beverages such as chocolate milk every day can train a child’s palate to prefer sugar-sweetened foods.

In response, more and more school districts have been removing chocolate milk from their menus. Chocolate milk is banned in Boulder, Minneapolis, Washington D.C., Montgomery County, Maryland, and most recently, San Francisco.

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Answer:

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Step-by-step explanation:

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Answer:

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