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
Tpy6a [65]
2 years ago
15

Find the exact values of the following,giving your answers as fractions

Mathematics
1 answer:
Vsevolod [243]2 years ago
8 0

Answer:

(a) 3^{-2}=\frac{1}{9}

(b) 4^{-3}=\frac{1}{64}

(c) 2^{-6}=\frac{1}{64}

Step-by-step explanation:

To find the exact value in fractions of the followings:

Exponents also called powers its a way of expressing a number multiplied by itself by a certain number of times.

Using a^{-m}= \frac{1}{a^m}                   .......[1]

(a)

Fraction represents a part of a whole or more generally, any number of equal parts.

3^{-2} = \frac{1}{3^2}=\frac{1}{3\times 3}=\frac{1}{9}         [ Using [1]]

(b)

4^{-3} = \frac{1}{4^3} =\frac{1}{4\times 4\times 4}=\frac{1}{64}          [ Using [1]]

(c)

2^{-6} = \frac{1}{2^6} =\frac{1}{2\times 2\times 2\times 2\times 2\times 2}=\frac{1}{64}          [ Using [1]]



You might be interested in
Is 3 to the negative 1 power times 3 to the negative 1 power equal to 3 to the 1 power?
iren2701 [21]
To make the exponent positive, make a fraction. 1/3 * 1/3. This is 0.1 repeating. 3^1 is 3. So the answer is no.
3 0
3 years ago
Graph y = -1/3x + 3<br><br> (( if you could include a picture of the graph that would be great))
Kay [80]
A place I go to graph is go to desmos.  It works well for this. All you have to do is snip the picture of your graph
6 0
3 years ago
I really need help for these pleaseee!!!
Naddik [55]

Answer:

pat

Step-by-step explanation:

5 0
3 years ago
The sum of half of a number and 49is 2 whole 1/4 of the number. find the number
Mrac [35]

Answer:

-93.5

Step-by-step explanation:

let the number be y

1/2 × y + 49 =2 1/4

y/2 +49 =9/4

y/2 =9/4-49

y/2 = 9-196/4

y/2 = -187/4

cross multiply

4y = -374

y = -93.5

6 0
2 years ago
Read 2 more answers
Two banks offer compound intereston your investment while you deposit with them. Bank A calculates compound interest annuallyand
sladkih [1.3K]

Answer:

Bank B because the more often you compound interest, the more interest you earn.

Step-by-step explanation:

Bank A compounds the interest once a year.

Bank B compounds the interest twice a year.

Let's create an example of two investments of the same amount of money, the same interest rate, and the same time. The only difference will be the number of times the interest is compounded per year.

Compound interest formula:

A = P(1 + \dfrac{r}{n})^{nt}

where

A = future value

P = principal invested

r = interest rate

t = number of years

n = number of times interested is compounded in 1 year

Example:

P = $1000

r = 5%

t = 5 years

Bank A: n = 1

Bank B: n = 2

Bank A:

A = $1000(1 + \dfrac{0.05}{1})^{1 \times 5} = $1276.28

Bank B:

A = $1000(1 + \dfrac{0.05}{2})^{2 \times 5} = $1280.08

Bank A's investment is worth $1276.28 after 5 years, but Bank B's investment is worth $1280.08 after the same 5 years. Compounding twice per year instead of only once per year earns more interest.

3 0
2 years ago
Other questions:
  • PLEASEE HELPP MEEEEE !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
    11·2 answers
  • True or false domain,first element and y-value all have the same meaning
    6·2 answers
  • Explain why you can subtract exponents when you are dividing two powers with the same base.
    8·2 answers
  • If 3/10 of the flowers are green and 3/4 of the rest are yellow. And the rest are purple. How many flowers do you have if you ha
    15·2 answers
  • Laine reads 25 pages in 30 minutes.
    14·1 answer
  • Please help I have 5 minutes
    14·1 answer
  • The selling price s , of an item is S equals C plus MC where C is the cost of the item and Emma is the percent markup based on c
    10·1 answer
  • 3<br> Graphe X-4<br> Graphy<br> Camdv,<br> rahy 5<br> Y=X-5<br> Y=4<br> 3<br> 2<br> y = 3<br> 5
    14·1 answer
  • Write the contrapositive and the converse of the following conditional
    10·2 answers
  • CAN SOMEBODY PLEASE HELP? I WILL GIVE BRAINLIEST!!
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!