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DENIUS [597]
2 years ago
13

Write an equivalent expression so that each factor has a single power. Let m, n, and p be numbers.

Mathematics
2 answers:
bagirrra123 [75]2 years ago
8 0

Answer:

a^m-n

Step-by-step explanation:

If we have the expression m^a / m^n, we can use exponent rules to simplify this.

Exponent rules say that x^a / x^b = x^a-b. In this case, x is a, a is m and b is n, so the same rule applied here.

So a^m / a^m  will be equal to a^m-n

Hope this helped!

Natasha2012 [34]2 years ago
7 0
A^m-n would be your anwser
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What function represents the pattern shown in the table?
Pavlova-9 [17]

Given:

The table of values of an exponential function.

To find:

The function for the given table of values.

Solution:

The general exponential function is:

y=ab^x        ...(i)

Where, a is the initial value and b is growth factor.

From the given table it is clear that the function passes through the points (1,9) and (2,36). It means the function must be true for these two points.

9=ab^1        ...(ii)

36=ab^2       ...(iii)

On dividing (iii) by (ii), we get

\dfrac{36}{9}=\dfrac{ab^2}{ab}  

4=b  

Putting b=4 in (ii), we get

9=a(4)^1

\dfrac{9}{4}=a

Putting a=\dfrac{9}{4},b=4 in (i), we get

y=\dfrac{9}{4}(4)^x

y=9(4)^{x-1}

The function notation with variable n is:

f(n)=9(4)^{n-1}

Therefore, the correct option is D.

7 0
2 years ago
Exercise 1.6 introduces a study on the relationship between socio-economic class and unethical behavior. As part of this study 1
lbvjy [14]

Answer:

(A) Population: UCB undergraduates

Sample: The selected 129 UCB undergraduates

(B) Yes, they can be generalized to the population

No, the findings of this <em>single</em> study cannot be used to establish causal relationships between socio-economic classes and unethical behaviors.

Step-by-step explanation:

STUDY: Relationship between socio-economic class and unethical behavior.

The bases for determining social class here are:  money, education, and respected job.

RESULT: Those who identified as upper class took more candy than others.

(A) Identify the population of interest and the sample, in this study.

The population of interest in this study is UCB undergraduates.

The sample in this study is the 129 UCB undergraduates who were selected and who agreed to take part in the experiment. They were the participants who were divided into the two social classes before the experiment was conducted.

(B) The results of the study can be generalized to the population of UCB undergraduates since it's likely that the results would be same in another group of 129 UCB undergraduates.

The findings or results of the study cannot be used to establish causal relationships unless the study is conducted in more universities and majority of the results are same with this.

6 0
2 years ago
Find the equivalent expression 5^6
Naily [24]
5^12/5^6 Is the correct response. When equal numbers with different exponents are divided then the you must subtract the exponents. 
Thus 12-6 = 6. 
6 0
3 years ago
ANSWER FOR BRAINLIEST AND PLEEASEE EXPLAIN :)
trapecia [35]

Answer: I think Value of x is 8 I’m not sure

3 0
3 years ago
Read 2 more answers
Sara is collecting signatures to pu on her towns ballot. So far, she has 432 signatures. This is 36% of the number of signatures
In-s [12.5K]

Sara needs to collect 1200 signatures.

Step-by-step explanation:

Let,

x be the total number of signatures she needs to collect

Given percentage = 36%

Signature collected = 432

According of statement;

36% of x = 432

\frac{36}{100}*x=432\\

\frac{36x}{100}=432\\Multiplying\ both\ sides\ by 100\\100*\frac{36x}{100}=432*100\\36x=43200\\Dividing\ both\ sides\ by\ 36\\\frac{36x}{36}=\frac{43200}{36}\\x=1200

Sara needs to collect 1200 signatures.

Keywords: Percentage, Division

Learn more about percentages at:

  • brainly.com/question/10879401
  • brainly.com/question/10940255

#LearnwithBrainly

6 0
2 years ago
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