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steposvetlana [31]
2 years ago
6

Communicate Mathematical Ideas Why do you subtract exponents

Mathematics
1 answer:
zysi [14]2 years ago
5 0

Answer:

We subtract exponents when diving powers with the same base because they eventually get canceled out when written in expanded form.

Step-by-step explanation:

For example, if we expand the given fractions:

10^3/10^1 = 1000/10 = 100 = 10^2

Now, if we subtract the exponents we get the same result.

10^3-1 = 10^2

So, a^m/a^n = a^m-

n is one of the exponent rules which saves time and makes calculation easier.

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Write 2687 in expanded form
kenny6666 [7]
2000+600+80+7 is the answer
7 0
3 years ago
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A bridge hand in which there is no card higher than a nine is called a Yarborough. Specify an appropriate sample space and deter
Vilka [71]

Answer:

The probability of Yarborough when you are randomly dealt 13 cards out of a well-shuffled deck of 52 card is 0.000547.

Step-by-step explanation:

The number of ways you  can choose a set of 13 different cards from a deck of 52 cards is given by 52P13.

Hence the unordered sample space has 52P13 equally likely outcomes. The number of outcomes with no card above a nine is 32P13.

This leads to the same value for the desired probability of a Yarborough:

32P13 / 52P13  = 0.000547.

3 0
3 years ago
PLEASE HELP ASAP!!!! Thanks!!
tino4ka555 [31]

Answer:

1.2 cm

Step-by-step explanation:

Quadrilateral circumscribing a circle is a quadrangle whose sides are tangent to a circle inside it (see attached diagram).

The area of circumscribed quadrilateral is

A=p\cdot r,

where p=\dfrac{a+b+c+d}{2} is semi-perimeter and r is radius of inscribed circle.

In your case, A=12\ cm^2

If a quadrilateral is circumscribed over the circle, then the sum of opposite sides is equal, so

a+c=b+d=10\ cm,

so

P=10+10=20\ cm\\ \\p=\dfrac{20}{2}=10\ cm

Now

12=10\cdot r\Rightarrow r=\dfrac{12}{10}=1.2\ cm

8 0
3 years ago
1. Factor the poynomial into linear irreducible factors.
svetlana [45]
B.) f(x)=(x^2-3)^2

a.) f(x)= (x^2+6)(x^2+5)
7 0
3 years ago
The volume of the oblique cylinder is 24 ft3.
Assoli18 [71]

Answer:

A: The height of the cylinder is 3.4 ft.

C: The diameter of the cylinder is about 3 ft.

E: A right cylinder with the same height and radius as this oblique cylinder would also have a volume of 24 ft3.

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
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