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Rina8888 [55]
3 years ago
7

. Express each exponent in expanded form: StartFraction 6 times 6 times 6 times 6 times 6 times 6 times 6 Over 6 times 6 times 6

times 6 EndFraction 2. Divide common factors: StartFraction 6 times 6 times 6 times 6 times 6 times 6 times 6 Over 6 times 6 times 6 times 6 EndFraction. 4 sixes in the numerator and denominator are crossed out. What is the exponent of the simplified power?
Mathematics
1 answer:
vovangra [49]3 years ago
3 0

Answer:

The exponent of the simplified power is 3

Step-by-step explanation:

Given:

6 × 6 × 6 × 6 × 6 × 6 × 6 / 6 × 6 × 6 × 6

Dividing common factors ( cancel out 4 6's in the Numerator and Denominator

= 6 × 6 × 6 / 1

= 6^3 /1

= 6^3

The exponent of the simplified power is 3

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One cubic meter of water weighs approximately 2200 pounds. There are 100 cm in one meter. If you have a box-shaped fish tank tha
Diano4ka-milaya [45]

Answer:

158.4 pounds

Step-by-step explanation:

first find the volume of the tank

V = 30 \times 30 \times 80

V = 72000 cm^3

to convert this to m^3 we know that 1m = 100cm

V = 72000 cm^3 \times \left(\dfrac{1\,\text{m}}{100\,\text{cm}}\right)^3

V = 72000 cm^3 \times \left(\dfrac{1\,\text{m}^3}{100^3\,\text{cm}^3}\right)

the cm^3 cancel out.

V = \dfrac{72000}{100^3} m^3

V = 0.072\,m^3

by simply converting the side-lengths to meters beforehand can give you this answer directly:

V = 0.3 \times 0.3 \times 0.8 = 0.072 m^3

it is given that 1 meter cube of water weighs about 2200 pounds.

1\,m^3 = 2200 \,\text{lb}

multiply both sides with 0.072 to find our answer:

1\,m^3 \times 0.072 = 2200 \times 0.072 \,\text{lb}

0.072\,m^3 = 158.4 \,\text{lb}

hence the weight of the water in the tank would be 158.4 pounds!

3 0
3 years ago
Of the students in Rosalie's dance class 29 out of 59 have participation in dance class before. (options)
oksano4ka [1.4K]

Answer:

I would believe its 1/2



5 0
3 years ago
Use the box plot to explain what you know about the spread of this data set.
k0ka [10]

Answer:

The Middle is 50, The outliers are 20 and 75

Step-by-step explanation:

4 0
3 years ago
Write a equivalent expression for 12a+60
viva [34]

Answer: 12(a+5)

Step-by-step explanation: factor out 12 from the expression

ANSWER 12(a+5)

8 0
3 years ago
Use a inequality symbol to compare -3x+7 -10-2
abruzzese [7]
Hey there,

Let's remember that a (inequality symbol) is things like (<), (>), (≤),(≥), (≠).

So, I believe that (-3x+7) and (-10-2) are separate. So we will find that out :)

Let's first do (-3x+7). As simplifying this expression here, we take that "x" of for a while and just stick to (-3+7). 

    -3
+   7
______
     4

Let's bring that "x" back, and the answer would be 4x for a while.

So far, 4x is the answer.
_____________________________________________________________

Now, Let's work on the other side.

We are talking about (<span>-10-2)

    -10
-      2
_______
</span>     -12

So, by solving the answer to (-10-2), we got -12.

So, let's determine what is greater . . . . . 

What \ is \ greater?

-12 or 4.

-12 is on the negative side, and the number 4 is positive. This would conclude that 4 is great than -12.

Your correct answer would look like . . . 

<span>(-3x+7) > (-10-2)
</span>
I really hope this helps you alot.

~Jurgen

8 0
3 years ago
Read 2 more answers
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