1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
IRISSAK [1]
3 years ago
14

Which expression is equivalent to 3^2 ⋅ 3^−5?

Mathematics
2 answers:
Taya2010 [7]3 years ago
7 0

The answer to 3^2 ⋅ 3^−5 is 1/27=.037

The answer is 1/27

otez555 [7]3 years ago
4 0

Answer:

\frac{1}{27}

Step-by-step explanation:

3^2 ⋅ 3^−5

3^2 \cdot 3^{-5}

To multiply the exponents we apply exponential property

a^m \cdot a^n = a^{m+n}

When we multiply the exponents with same base then we add the exponents

3^2 \cdot 3^{-5}, both terms has same base . so we add the exponents.

3^2 \cdot 3^{-5}=3^{2-5}= 3^{-3}

Now we make the exponent positive

a^{-m}= \frac{1}{a^m}

3^{-3}= \frac{1}{3^3}=\frac{1}{27}

You might be interested in
Is X-13=x+1 true or false
Black_prince [1.1K]

Answer: FALSE.

Step-by-step explanation:

Given the following equation provided in the exercise:

x-13=x+1

You need to solve for the variable "x".

In order to solve for "x" you can folllow the steps shown below:

1. You must apply the Addition property of equality and add 13 to both sides of the equation. Then:

x-13+(13)=x+1+(13)\\\\x=x+14

2. Finally you need to apply the Subtraction property of equality and subtract "x" from both sides of the equation. So you get:

x-(x)=x+14-(x)\\\\0=14\ (FALSE)

Therefore, as you can observe, the given equation has no solutions.

3 0
3 years ago
There are 275 people in a movie theater. Of those, 150 are adults. What is the ratio of
Alexxandr [17]

Answer:

270 to 150

Step-by-step explanation:

 

3 0
2 years ago
Read 2 more answers
You just purchased two coins at a price of $670 each. Because one of the coins is more collectible, you believe that its value w
DerKrebs [107]

Answer:

The value of first coin will be $151.51 more than second coin in 15 years.

Step-by-step explanation:

You have just purchased two coins at a price of $670 each.

You believe that first coin's value will increase at a rate of 7.1% and second coin's value 6.5% per year.

We have to calculate the first coin's value after 15 years by using the formula

A=P(1+\frac{r}{100})^{n}

Where A = Future value

           P = Present value

           r = rate of interest

           n = time in years

Now we put the values

A=670(1+\frac{7.1}{100})^{15}

A=670(1+0.071)^{15}

A=670(1.071)^{15}

A = (670)(2.797964)

A = 1874.635622 ≈ $1874.64

Now we will calculate the value of second coin.

A=670(1+\frac{6.5}{100})^{15}

A=670(1+0.6.5)^{15}

A=670(1.065)^{15}

A = 670 × 2.571841

A = $1723.13

The difference of the value after 15 years = 1874.64 - 1723.13 = $151.51

The value of first coin will be $151.51 more than second coin in 15 years.

8 0
2 years ago
Can somebody answer this ?? :)
Alexxandr [17]

Answer:

Because the dashed triangle is smaller than the original it's a reduction. The scale factor is 1/3 because if we look at the altitudes of the triangle, the original is 6 and the dilated is 2 and 2 / 6 = 1 / 3.

4 0
3 years ago
Question in picture below
Artyom0805 [142]

Answer:

C

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Other questions:
  • A cylinder has a volume of 245 cubic units and a height of 5 units. The diameter of the cylinder is
    12·2 answers
  • Which of the following could be the ratio of the length of the longer leg of a 30-60-90 triangle to the length of its hypotenuse
    15·2 answers
  • Find the difference x/7x^2-13x-24 - 2x/7x^2-30x+27
    8·1 answer
  • write an algebraic equation to represent" four less than seven times a number is five more than twice the number"
    6·1 answer
  • Given the equation y = 0.2 x 4^x , find x when y = 1000
    11·1 answer
  • What is the absolute value for: <br> |40|
    15·2 answers
  • What is the slope intercept form of <br>(0,2)(-3,7)​
    9·1 answer
  • what digit could be in the ten millions place of a number that is greater than 70,000,000 but less than 100,000,000
    7·1 answer
  • I don't get this question can someone help?
    9·1 answer
  • HELP THIS IS MY 2ND ATTEMPT
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!