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3 years ago

Simplify -(3xy^4)^-4

Mathematics

1 answer:

Umnica [9.8K]3 years ago

7 0

Answer:

$\frac{-1}{81x^4y^16}$

Step-by-step explanation:

→Rewrite the expression so that the exponent is no longer negative. To do this, you write it as:

$\frac{-1}{(3xy^4)^4}$

→Apply the exponent (4) to the 3, x, and $y^4$ :

$\frac{-1}{81x^4y^16}$

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The Hendersons went on a driving vacation. They decided to travel 1/3 of the distance on the first day. Owing to bad weather, th

Sloan [31]

Answer:

$\displaystyle \frac{1}{12}$

$\displaystyle \frac{3}{5}$

$\displaystyle \frac{17}{24}$

Step-by-step explanation:

Part A)

The Hendersons were traveling 1/3 of the distance on the first day.

However, they had to stop, having only traveled 1/4 of the 1/3 distance.

So, we can multiply the two fractions together.

Therefore, the fraction of the total distance they traveled is given by:

$\displaystyle \frac{1}{4}\times\frac{1}{3}=\frac{1}{12}$

The Hendersons traveled 1/12 of the total distance.

Part B)

We are assuming the bottle of milk was full at the beginning.

So, at the beginning, there were 1/1 bottle of milk left.

Howie fed a piglet 1/5 of the bottle. So, there is now:

$\displaystyle 1-\frac{1}{5}$

Of the bottle left.

Making common denominators and subtracting yields:

$\displaystyle =\frac{5}{5}-\frac{1}{5}=\frac{4}{5}$

So, after feeding the piglet, 4/5 of the bottle of milk was still there.

3/4 of the remainder was fed to a calf.

So, the amount that was fed to the calf is 3/4 times 4/5. Therefore:

$\displaystyle \frac{3}{4}\times\frac{4}{5}$

Multiply:

$\displaystyle =\frac{12}{20}=\frac{3}{5}$

So, the calf drank 3/5 of the bottle of milk.

Part C)

Nathan used 2 (5/6) loaves of bread to make 4 sandwiches.

First, convert 2 (5/6) to an improper fraction. So:

$\displaystyle 2\frac{5}{6}=\frac{12+5}{6}=\frac{17}{6}$

Nathan made 4 sandwiches using this. So, we will divide this by 4. Note that this is the same as multiplying by 1/4. Therefore:

$\displaystyle \frac{17}{6}\times\frac{1}{4}=\frac{17}{24}$

So, Nathan used 17/24 loaves of bread per sandwich.

4 0

3 years ago

Twelve less than the quotient of a number and 7 is -2

maks197457 [2]

(x/7)-12=-2

Add 12 to both sides.

x/7=10

Multiply both sides by 7.

x=70

Final answer: 70

hope this helps :)

6 0

3 years ago

Prove the segments joining the midpoint of consecutive sides of an isosceles trapezoid form a rhombus.

Komok [63]

Answer:

im confused

Step-by-step explanation:

3 0

3 years ago

Can you please Solve for x?

GaryK [48]

tan( 31 ) = x / 39

0.600860619 = x / 39

x = 0.600860619 × 39

x = 23.433564141

______________________________

Round to the nearest tenth :

x = 23.4

Round to the nearest hundredth :

x = 23.43

3 0

3 years ago

During his workouts last week, Allen jogged the same amount of time each day for 6 days. Use the following information to determ

Stella [2.4K]

So you have to break it down
Each workout he jogged and rode his bike
Everyday he jogged for for 45 minutes
He totaled 360 minutes for the week.

There are seven days in a week so divide the 360 by the 7 51 3/7 minutes everyday
Subtract 45 from it 6 3/7
So the answer is he jogged 6 minutes and around 26 seconds everyday
(Concert the 3/7 to seconds by my tip lying it by 60)

3 0

3 years ago

Read 2 more answers