Which of the following represents the value of x, the missing exponents needed to make the equation a true statement? Explain your reasoning.(Please answer! I need this ASAP)
Answers
Answer: x = 21
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Explanation:
The exponent rules are
- a^b * a^c = a^(b+c) .... lets call this rule 1
- (a^b)/(a^c) = a^(b-c) .... lets call this rule 2
- (a^b)^c = a^(b*c) ......... lets call this rule 3
The expression on the right hand side simplifies to c^(-1). We add the exponents to get this. So we're using rule 1 mentioned above.
We'll keep this in mind for later.
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On the left hand side (c^5)^4 becomes c^(20) because we multiply the exponents (rule 3)
Then (c^20)/(c^x) becomes c^(20-x). We subtract exponents here (rule 2).
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After using those exponent rules, the original equation turns into
c^(20-x) = c^(-1)
The bases are both c, so the exponents must be equal
20-x = -1
-x = -1-20
-x = -21
x = 21
Related Questions
Please Answer the following with explanation and formula with neat typing
Help PLEASE!!!!!!!If BD bisects angle ABC, measure of DBC = 79 degrees, and measure of angle ABC= 9x-4, find the value of x.
URGENT TEST I HAVE!!!!
Subtract breaking apart 143-79
Answers
Answer:
the answer is 25 degrees
Answer:
alpha = 25°
Step-by-step explanation:
The picture indicates a rectangle.
Alpha is in a straight corner of 90 °, so...
65 + alpha = 90
subtract 65 left and right of the = sign.
65 - 65 + alpha = 90 - 65
0 + alpha = 90 - 65
alpha = 25°
What is the rate of growth or decay?
What was the initial amount? 120000
What is the function?
What is the population after 10 years? Round to the nearest whole number.
Answers
Answer:
- Decay Problem.
- Decay rate, r = 0.014
- Initial Amount =120,000
- P(10)=104,220
Step-by-step explanation:
The exponential function for growth/decay is given as:
In this problem:
The city's initial population is 120,000 and it decreases by 1.4% per year.
- Since the population decreases, it is a Decay Problem.
- Decay rate, r=1.4% =0.014
- Initial Amount =120,000
Therefore, the function is:
When t=10 years
Answers
Answers
Answer:
7
Step-by-step explanation:
(343) ^ (1/3)
Rewriting 343 as 7^3
( 7^3) ^ (1/3)
7
ppllsssss
Answers
Answer:
C
Step-by-step explanation:
Tip a positive number multiplied to a negative number is negative
?
Answers
Answer:
No unless x is being used to define only elements of an integer set.
Step-by-step explanation:
No, not in general unless x is defined as a integer or a subset of the integers like the naturals, whole numbers....
Usually 6<=x<=10 means all real numbers between 6 and 10, inclusive. This means example that 6.6 or 2pi are in this set with infinitely other numbers that I can't name.
{6,7,8,9,10} just means the set containing the numbers 6,7,8,9,10 and that's only those 5 numbers.