All categories

3 years ago

What is the value of 3 to the power 2 over 3 to the power 4? A. 1 over 81 B. 1 over 27 C. 1 over 9 D. 1 over 3

Mathematics

2 answers:

olasank [31]3 years ago

7 0

Answer:

Option C is correct.

Step-by-step explanation:

Given Expression:

$\frac{3^2}{3^4}$

We need to find Value of given expression.

Consider,

$\frac{3^2}{3^4}$

$\implies3^{2-4}$

$\implies3^{-2}$

$\implies\frac{1}{9}$

Therefore, Option C is correct.

rodikova [14]3 years ago

6 0

One way you could solve this is to just multiply the top and bottom out so that you get 9/81, reducing it by 9/9 to get 1/9 or option C.
Another way would be to do $3^{(2-4)}$ since dividing numbers with exponents would be subtracting the bottom exponent from the top exponent, provided that the base number (in this case 3) is the same for both. For this method, you would get $3^{-2}$ , which is equal to 1/9 or .1 repeating, the same answer that you'd get with the first method.

You might be interested in

Which expression is equivalent to ва ? o areks 22 зев обек 22 34

anyanavicka [17]

Answer:

Step-by-step explanation:

it is epuivalet

5 0

3 years ago

Read 2 more answers

A sum of $4000 is invested at 5.5% interest per year. Find the amount of time needed to double the money if it’s compounded mont

musickatia [10]

9514 1404 393

Answer:

C) 12y 8m

Step-by-step explanation:

The amount of principal P at compound monthly at interest rate r per year is given by ...

A = P(1 +r/12)^(12t) . . . . after t years

Here, we want to find t, so ...

A/P = (1 +r/12)^(12t)

log(A/P) = (12t)·log(1 +r/12)

t = log(A/P)/(12·log(1 +r/12))

Filling in the given values, we find t to be ...

t = log(8000/4000)/(12·log(1 +0.055/12)) ≈ 12.6315 ≈ 12 years 7.6 months

It will take about 12 years 8 months to double the money.

8 0

3 years ago

What is the difference between x and dx?

N76 [4]

This response is based upon your having had some background in calculus. "dx" is not introduced before that.

Take a look at the sample function y = f(x) = x^2 + 9. Here x is the independent variable; the dependent variable y changes with x.

Now, for a big jump: we consider finding the area under a curve (graph) between x = a and x = b. We subdivide that interval [a,b] into n vertical slices of area. Each of those slices has its own area: f(x)*dx, where dx represents the width of such subarea. f(x)*dx is the actual subarea. To find the total area under the curve f(x) between x= a and x = b, we add up all of these individual subareas between x = a and x = b. Note that the subinterval width is

b-a

dx = ---------- , and that dx becomes smaller and smaller as the number of

n subintervals increases.

Once again, this all makes sense only if you've begun calculus (particularly integral calculus). Do not try to relate it to earlier math courses.

8 0

3 years ago

What is the fraction and decimal

vfiekz [6]

The fraction is 1/15 and the decimal is 1.15

5 0

2 years ago

only 76 out of every 500 adults consume the daily recommended amount of calcium. what percentage consumes the recommended amount

sweet-ann [11.9K]

15.2% Comsume the recommended amount of calcium.

5 0

3 years ago