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Tcecarenko [31]
3 years ago
6

Simplify each expression. Use positive exponents.

Mathematics
2 answers:
mario62 [17]3 years ago
4 0

Answer:

Step-by-step explanation:

(A) The given expression is:

m^3n^{-6}p^0

Simplifying this expression, we get

=m^3n^{-6}(1)

=\frac{m^3}{n^6}

which is the required simplified form.

(B) The given expression is:

\frac{a^4b^{-3}}{ab^{-2} }

Simplifying the above equation using the exponent rule, we have

=\frac{a^3}{b}

which is the required simplified form.

(C) The given expression is:

(x^{-2}y^{-4}x^3)^{-2}

Simplifying this expression, we get

=(\frac{x}{y^4})^{-2}

=(\frac{y^4}{x})^2

=\frac{y^8}{x^2}

which is the required simplified form.

Semmy [17]3 years ago
3 0
To simplify each expression, we need to group all the terms that have the same bases and flock them if necessary to one side. One rule that applies is that negative exponents goes to the other side in order to be positive.

<span>1. m3n-6p0 ; p0 =1 , so, m3/n6
2. </span><span>a^4b^-3/ab^-2  = a^4a-1 / b^-2b^3 = a^3/b
3. </span><span>(x^-2y^-4x^3) -2 = (x^-2x^3 y^-4 )^-2 = (x/y^4)^-2 = y^16/x^2</span>
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By using and X,Y grid starting at zero and then making its way to 1,4 for example showing that for every 1 X there are 4 Y's
3 0
3 years ago
Read 2 more answers
A) A club is considering changing its bylaws. In an initial straw vote on the issue, 24 of the 40 members of the club favored th
lora16 [44]

Answer:

38,38,380

Step-by-step explanation:

GIVEN: A club is considering changing its laws. In an initial straw vote on the issue, 24 of the 40 members of the club favored the change and 16 did not. A committee of six is to be chosen from the 40 club members to devote further study to the issue.

TO FIND: How many committees of six can be formed from the club membership.

SOLUTION:

Total number of members =40

Total members to be chosen =6

To select committee of 6 members from 40 =^{40}C_6

                                                                       =\frac{40!}{34!6!}

                                                                      =38,38,380

Hence 38,38,380 different committee can be formed.

7 0
3 years ago
Mileage tests are conducted for a particular model of automobile. If a 98% confidence interval with a margin of error of 1 mile
Llana [10]

Answer: 37

Step-by-step explanation:

Given : Significance level : \alpha:1-0.98=0.02

Critical value : z_{\alpha/2}=z_{0.01}=2.33

margin of error : E= 1 mile per gallon

Population standard deviation: \sigma=2.6 miles per gallon.

We know that when the population standard deviation is known then the formula to find the sample size is given by  :

n=(\dfrac{z_{\alpha/2}\times \sigma}{E})^2

n=(\dfrac{(2.33)\times 2.6}{1})^2=36.699364\approx37  [Round to the next whole number.]

Hence, the required number of automobiles should be used in the test = 37

7 0
3 years ago
Through (-3,-5) and (0,-2)
GarryVolchara [31]

Answer:

Step-by-step explanation:

I think your doing slope, so...

       -2 - - 5                 3

  ------------------  =  ---------------  =     1

        0 - - 3                  3

                                       (simplifyed)

7 0
3 years ago
Someone plz help me 1-1\2c=6
GarryVolchara [31]

1 - 1/2c = 6

1 -1 - 1/2c = 6 -1 (subtract 1 on both sides)

-1/2c = 5 (next do the inverse operation)

c = 5 ÷ 1/2

c = -10

to check your answer substitute the value of c in the equation;

1- 1/2c = 6

1- 1/2(-10) = 6

1 + 5 = 6

6 =6



6 0
3 years ago
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