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zvonat [6]
3 years ago
5

What is the common rule for simplifying a negative exponent with a coefficient? Ex: 3^-1

Mathematics
2 answers:
Sergeeva-Olga [200]3 years ago
4 0
<h2>Answer:</h2>

<u>Negative exponents in the numerator get moved to the denominator and become positive exponents</u>

<h2>Step-by-step explanation:</h2>

In any problem where the exponent is given in negative can be solved by taking negative exponents in the numerator to the denominator and become positive exponents.

For instance the given problem can be solved as writing 3 ^ -1 as 1/3

So the rule is moving the exponent to the denominator and make it positive

rjkz [21]3 years ago
3 0
Anything to a negative power becomes the inverse with the coefficient to a positive power.
For example, 3^-1 becomes 1/3^1 or just 1/3.
3^-2 would be 1/3^2 or 1/9.
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8 0
1 year ago
AB = 3 + x
ICE Princess25 [194]

The given quadrilateral ABCD is a parallelogram since the opposite sides are of same length AB and DC is 4 and AD and BC is 2.

<u>Step-by-step explanation</u>:

ABCD is a quadrilateral with their opposite sides are congruent (equal).

The both pairs of opposite sides are given as AB = 3 + x , DC = 4x , AD = y + 1 , BC = 2y.

  • AB and DC are opposite sides and have same measure of length.
  • AD and BC are opposite sides and have same measure of length.

<u>To find the length of AB and DC :</u>

AB = DC

3 + x = 4x

Keep x terms on one side and constant on other side.

3 = 4x - x

3 = 3x

x = 1

Substiute x=1 in AB and DC,

AB = 3+1 = 4

DC = 4(1) = 4

<u>To find the length of AD and BC :</u>

AD = BC

y + 1 = 2y

Keep y terms on one side and constant on other side.

2y-y = 1

y = 1

Substiute y=1 in AD and BC,

AD = 1+1 = 2

BC = 2(1) = 2

Therefore, the opposite sides are of same length AB and DC is 4 and AD and BC is 2. The given quadrilateral ABCD is a parallelogram.

6 0
3 years ago
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