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SOVA2 [1]
3 years ago
14

Evaluate

Mathematics
1 answer:
Diano4ka-milaya [45]3 years ago
5 0

Answer:

81/64

Step-by-step explanation:

(-8)^-2

----------------

3^-4

Negative exponents move the item from the numerator to the denominator, and from the denominator to the numerator

(3)^4

----------------

(-8)^2

Now evaluate the power

81

---------

64

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Which inequality correctly compares Two-fifths, Six-sevenths, Five-eighths, and 1?
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Answer:

<u>2/5 < 5/8 < 6/7 < 1 </u>

   <u>OR</u>    

<u>1 > 6/7 > 5/8 > 2/5</u>

Step-by-step explanation:

It is required to compare Two-fifths, Six-sevenths, Five-eighths, and 1

Two-fifths = 2/5

Six-sevenths = 6/7

Five-eighths = 5/8

So, the given numbers are: 2/5, 6/7, 5/8, and 1

We need to make the numbers in order from the least to the greatest or from the greatest to the least

The easy method is convert the rational numbers to decimal numbers

So,

2/5 = 0.4

6/7 ≈ 0.857

5/8 = 0.625

1 = 1

So, the numbers form the least to the greatest are:

0.4 , 0.625 , 0.857 , 1

So,

2/5 , 5/8 , 6/7 , 1

The inequality correctly compares the numbers are:

<u>2/5 < 5/8 < 6/7 < 1</u>

Or can be written from the greatest to the least as:

<u>1 > 6/7 > 5/8 > 2/5 </u>

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