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IgorC [24]
3 years ago
5

How would you solve this? (2^-2/3^3) PLEASE EXPLAIN

Mathematics
2 answers:
REY [17]3 years ago
5 0

9514 1404 393

Answer:

  1/108

Step-by-step explanation:

Make use of the rule of exponents ...

  a^-b = 1/a^b

__

  \dfrac{2^{-2}}{3^3}=\dfrac{1}{(2^2)(3^3)}=\dfrac{1}{4\cdot 27}=\boxed{\dfrac{1}{108}}

__

If you type this expression into your calculator, you will get the repeating decimal ...

  \dfrac{2^{-2}}{3^3}=0.00\overline{925}=\dfrac{925}{99900}=\boxed{\dfrac{1}{108}}

Some calculators will convert this to a fraction for you.

nekit [7.7K]3 years ago
4 0

Answer: 1/108

Step-by-step explanation:

2^-2 is 1/4

3^3 is 27

1/4 / 27 = 1/108

Simple maths

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Mr. and Mrs. Nelson are going to build a new home. They need to have working drawings of their house plans created by a design f
matrenka [14]

Answer:

Options 2), 4), and 5) are correct

Step-by-step explanation:

<u>Rock the House Digital Designs</u>

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<u>Elegant Home Architects</u>

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===========================

<u>Answer options:</u>

1)The expression 50h represents the total charge for Rock the House Digital Designs.

  • Incorrect. Additional $500 charged.

2)The expression 75h represents the total charge for Elegance Home Architects.

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3)The expression 500 + 75h + 50h represents the total amount the Nelsons will spend working drawings of their new house plans.

  • Incorrect. They will choose one of the options.

4)If the Nelsons hire the design firm for 15 hours, then Elegance Home Architects will be cheaper.

  • Correct. It will cost 15*75 = $1125. Alternative costs 500 + 50*15 = $1250

5)If the Nelsons hire the design firm for 25 hours, then Rock the House Digital Designs will be cheaper.

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8 0
3 years ago
You need to sell 250 candy bars at $2 each. If you meet your goal, the total amount of money you will have is measured in the __
ollegr [7]
Based on the given details you have given, the total amount of money that you will have will be measured in dollars ($). Since the given value is also in dollars which is $2, therefore, the total amount of money you will have is also in dollars which is 250 x $2 is $500 in total. Hope this answers the question. 
3 0
3 years ago
Which of these numbers are divisible by both 5 and 10? .....a )943 720 b) 345 c) 57 382 d) 8880
alexgriva [62]
D, 8880 is divisible by both ten and 5.
4 0
3 years ago
For which value is the absolute deviation from the mean equal to 3?
Nesterboy [21]

Answer: 26

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7 0
3 years ago
2. Chaleah deposited 700$ in a new account that earns 5% simple interest. After 4 years,
Oxana [17]

Answer:

Interest earned: $150.85

Total amount: $850.86

Step-by-step explanation:

Y=700(1.05)^4

Put the right side of the equation into a calculator and get

850.85 that's your total, so to get the amount earned subtract the original 700 from it and get 150.85

5 0
2 years ago
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