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
maria [59]
3 years ago
5

State whether -4^-2 and (-4)^-2 represent the same quantity

Mathematics
1 answer:
timofeeve [1]3 years ago
3 0
A negative exponent just means that the base is on the wrong side of the fraction line, so you need to flip the base to the other side. For instance, "x^-2" just means "x2, but underneath, as in 1/x^2.

-4^-2 means the power -2 is only applied to 4 and not the negative sign. -4^-2 = -(4^-2), which is equal to -1/16.

Whereas, (-4)^-2 means the power -2 affects on both negative sign and 4. For example, (-4)^2 is equal to (-4 * -4) which is just 16. Moving on, with (-4)^-2 equals to 1/(-4*-4) = 1/16.

//Hope this helps.
You might be interested in
Brainliest for the correct ANSWER!!! Help ASAP
WITCHER [35]

Slope = change in Y over the change in x:

Slope = (3-1) / (3- -3)

Slope = 2 / 6

Slope = 1/3

3 0
3 years ago
Read 2 more answers
Francois baked just enough cookies to fill all the orders at his bakery. While the cookies were cooling, a kitchen assistant kno
True [87]
What is the question?

8 0
3 years ago
Find the unknown side length. Write your answer in simplest radical form.
Eva8 [605]

Answer: 1. x= 20 units,   2. x= 5\sqrt{3} units    3. x= 4\sqrt{2} units.

Step-by-step explanation:

In a right triangle,

Hypotenuse^2= Perpendicular^2+Base^2  (Pythagoras theorem)

1. Hypotenuse = x , Base = 16, Perpendicular = 12

\Rightarrow\ x^2 =12^2+16^2\\\\ \Rightarrow\ x^2=144+256\\\\ \Rightarrow\ x^2=400\\\\ \Rightarrow\ x=\sqrt{400}=20

2. Hypotenuse = 14 , Base = 11, Perpendicular = x

\Rightarrow\ 14^2=x^2+11^2\\\\\Rightarrow\ 196=x^2+121\\\\\Rightarrow\ x^2=196-121\\\\\Rightarrow\ x^2 = 75\\\\\Rightarrow\ x=\sqrt{75}=\sqrt{25\times3}=5\sqrt{3}

3.  Hypotenuse = 9 , Base = x, Perpendicular =7

\Rightarrow\ 9^2=x^2+7^2\\\\\Rightarrow\ 81= x^2+49\\\\\Rightarrow\ x^2=81-49\\\\\Rightarrow\ x^2=32\\\\\Rightarrow\ x=\sqrt{32}=\sqrt{16\times2}\\\\\Rightarrow\ x=4\sqrt{2}

5 0
3 years ago
This is for my Math diagnostic (゚ω゚;)
n200080 [17]

Answer: .....

Step-by-step explanation:

4 0
3 years ago
Can anyone help? with these probelms.
vredina [299]

Answer:

Denise = total cost $3,345.00 per mile cost is 0.3185 or 32 cents per mile

Total Lease cost = $15,516

Step-by-step explanation:

5 0
3 years ago
Other questions:
  • It cost $3.99 for 25 fl.oz. which is the cheapest per fluid ounce​
    9·1 answer
  • Samuel’s father is four years older than double Samuel’s age. their age difference is 22 years. how old are they
    13·1 answer
  • A triangle is reflected across the line x=2. which of the following is true?
    10·2 answers
  • The population of Riverdale is 6,735 ?
    9·2 answers
  • What is the answer and work shown for 9r+r+7b+10+b+r+4n
    5·2 answers
  • Ava bought 25 kg of fish-flavored cat food and 35 kg of chicken-flavored cat food for the cat rescue center. He is going to divi
    8·1 answer
  • Kate made 180 ounces of punch for a party.She serves the punch in 8punce cups.How many full cups can she serve?
    6·1 answer
  • Consider the function f(x) = 3x2 + 7x + 2.
    8·1 answer
  • BRAINLIST look at the picture for question pls need help
    10·1 answer
  • Ruby is visiting San Francisco. From her hotel she walks 1 block east and 2 blocks south to a coffee shop. Then she walks 2 bloc
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!