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MAVERICK [17]
3 years ago
8

Which expression is equivalent to 6^–3?

Mathematics
2 answers:
dedylja [7]3 years ago
8 0

Answer:

6^{-3}

Step-by-step explanation:

Given : 6^{-3}

To Find: Which expression is equivalent to 6^{-3}

Solution:

Identity :x ^{-1}=\frac{1}{x}

So, 6^{-3} = (\frac{1}{6})^3

6^{-3} = (\frac{1}{6})^3

So, (\frac{1}{6})^3 is equivalent to 6^{-3}

Thus Option D is correct.

lara31 [8.8K]3 years ago
4 0
Expression 6^–3 can be rewritten as:
1/6^3 = (1/6)^3

Therefore the answer is D

Hope that helps you
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A machine covers 5/8 square foot in 1/4 hour
VLD [36.1K]

The question is incomplete. Here is the complete question:

A machine covers 5/8 square foot in 1/4 hour. what is the unit rate?

Answer:

2.5 square feet per hour

Step-by-step explanation:

Given:

Area covered by a machine = frac{5}{8}\ ft^2

Time taken to cover the given area = \frac{1}{4}\ h

Now, unit rate of the first quantity with respect to second quantity is the magnitude of the first quantity being when the second quantity is one unit.

Here, the first quantity is the area covered and the second quantity is the time taken.

So, unit rate is the area covered by the machine in 1 hour.

In order to find that, we use the unitary method and divide the area by the total time taken. Therefore,

Unit\ rate=\frac{Total\ area\ covered}{Total\ time\ taken}\\\\Unit\ rate=(\frac{5}{8}\ ft^2)\div (\frac{1}{4}\ h)\\\\Unit\ rate=\frac{5}{8}\times \frac{4}{1}\ ft^2/h\\\\Unit\ rate=\frac{20}{8}=2.5\ ft^2/h

Thus, the unit rate is 2.5 square feet per hour.

5 0
3 years ago
How many degrees does the polynomial 6c9 have
spayn [35]

Answer:

None, there are no degrees/exponents

Step-by-step explanation:

Hope this is helpful :)

6 0
3 years ago
Read 2 more answers
A cylinder with a height of 12 cm has a volume of 1728 pi cm^ 3 What is the diameter of the cylinder?
blsea [12.9K]

Answer:

Step-by-step explanation:

let r be radius of the cylinder.

volume of cylinder=πr²h

1728π=πr²×12

r²=1728 π/12π=144

r=√144=12

diameter=2r=2×12=24 cm

3 0
2 years ago
Read 2 more answers
I NEED HELP WITH THIS ASAP PLEASE!
sdas [7]
(x+1)(x+2)
this is what i got hope it helps
5 0
2 years ago
Someone please solve this. no where is an answer to this
serg [7]

Answer:

a=-8/5

Step-by-step explanation:

  (-1/2a-5)=3a+1

To find the opposite of  1/2 a−5, find the opposite of each term.

-1/2a-(-5)= -3a+1

The opposite of −5 is 5.

-1/2a+5=-3a+1

add 3a to both sides

-1/2a+5+3a=1

Combine-1/2and 3a to get 5/2a

5/2a+5=1

Subtract 5 from both side

5/2a=1-5

Subtract 5 from 1 to get −4.

5/2a=-4

Multiply both sides by 2/5 =0.4, the reciprocal of  5/2=2.5.

a=-4x(2/5)

express -4x(2/5)=1.6 as single  fraction.

a= -4x2/5

Multiply −4 and 2 to get −8.

a=-8/5

Fraction −8/5 ≈−1.6 can be rewritten as −8/5 =−1.6 by extracting the negative sign.

a=-8/5

8 0
3 years ago
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