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
AleksAgata [21]
3 years ago
15

Can someone please tell me the three index laws?​

Mathematics
2 answers:
Gnoma [55]3 years ago
5 0

/^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^

ANEK [815]3 years ago
4 0

Answer:LAW 1: The first law of indices tells us that when multiplying two identical numbers together that have different powers (eg: 2² x 2³), the answer will be the same number to the power of both exponents added together. In algebraic form. The a represents the number and n and m represent the powers. Here is an example of this rule in action.LAW 2: The second law of indices tells us that when dividing a number with an exponent by the same number with an exponent, we have to subtract the powers. In algebraic form, this rule is as follows . The a represents the number that is divided by itself and m and n represent the powers.

Step-by-step explanation:

You might be interested in
|8| &gt; |-8| True False<br> answer please
Tom [10]

Answer:

false

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Table of values 3x+2y=24
Mekhanik [1.2K]

3
x
+
2
y
>
24
3
x
+
2
y
>
24
Solve for
y
y
.
Tap for more steps...
y
>
−
3
x
2
+
12
y
>
-
3
x
2
+
12
Use the slope-intercept form to find the slope and y-intercept.
Tap for more steps...
Slope:
−
3
2
-
3
2
Y-Intercept:
12
12
Graph a dashed line, then shade the area above the boundary line since
y
y
is greater than
−
3
x
2
+
12
-
3
x
2
+
12
.
y
>
−
3
x
2
+
12
y
>
-
3
x
2
+
12
4 0
2 years ago
Hi, can someone please answer this question? Thanks!!!
cricket20 [7]

Answer:

sorry im not so sure abut the answer

Step-by-step explanation:

.....

8 0
3 years ago
41. You water your roses every sixth
ICE Princess25 [194]

Answer:

30

Step-by-step explanation:

because 6 × 5 equals 30 and when you're looking for when something's going to be the same you got to do what your numbers are times each other

5 0
3 years ago
(a) Let R = {(a,b): a² + 3b &lt;= 12, a, b € z+} be a relation defined on z+)
grin007 [14]

Answer:

R is an equivalence relation, since R is reflexive, symmetric, and transitive.

Step-by-step explanation:

The relation R is an equivalence if it is reflexive, symmetric and transitive.

The order to options required to show that R is an equivalence relation are;

((a, b), (a, b)) ∈ R since a·b = b·a

Therefore, R is reflexive

If ((a, b), (c, d)) ∈ R then a·d = b·c, which gives c·b = d·a, then ((c, d), (a, b)) ∈ R

Therefore, R is symmetric

If ((c, d), (e, f)) ∈ R, and ((a, b), (c, d)) ∈ R therefore, c·f = d·e, and a·d = b·c

Multiplying gives, a·f·c·d = b·e·c·d, which gives, a·f = b·e, then ((a, b), (e, f)) ∈R

Therefore R is transitive

From the above proofs, the relation R is reflexive, symmetric, and transitive, therefore, R is an equivalent relation.

Reasons:

Prove that the relation R is reflexive

Reflexive property is a property is the property that a number has a value that it posses (it is equal to itself)

The given relation is ((a, b), (c, d)) ∈ R if and only if a·d = b·c

By multiplication property of equality; a·b = b·a

Therefore;

((a, b), (a, b)) ∈ R

The relation, R, is reflexive.

Prove that the relation, R, is symmetric

Given that if ((a, b), (c, d)) ∈ R then we have, a·d = b·c

Therefore, c·b = d·a implies ((c, d), (a, b)) ∈ R

((a, b), (c, d)) and ((c, d), (a, b)) are symmetric.

Therefore, the relation, R, is symmetric.

Prove that R is transitive

Symbolically, transitive property is as follows; If x = y, and y = z, then x = z

From the given relation, ((a, b), (c, d)) ∈ R, then a·d = b·c

Therefore, ((c, d), (e, f)) ∈ R, then c·f = d·e

By multiplication, a·d × c·f = b·c × d·e

a·d·c·f = b·c·d·e

Therefore;

a·f·c·d = b·e·c·d

a·f = b·e

Which gives;

((a, b), (e, f)) ∈ R, therefore, the relation, R, is transitive.

Therefore;

R is an equivalence relation, since R is reflexive, symmetric, and transitive.

Based on a similar question posted online, it is required to rank the given options in the order to show that R is an equivalence relation.

Learn more about equivalent relations here:

brainly.com/question/1503196

4 0
2 years ago
Other questions:
  • This system has one solution.
    15·2 answers
  • H(x)=16-x, when x= -4​
    14·1 answer
  • Grant and Pedro are comparing their stocks for the week. On Monday, their results were opposite. Explain how you would graph the
    11·2 answers
  • Consider the diagram. Lines e and c can be described as
    14·1 answer
  • The Foot Locker is having a 60% off sale on shorts. John paid $18 for a pair of shorts. What was the original price of the short
    9·1 answer
  • Elena is making an open-top box by cutting squares out of the corners of a piece of paper that is 11 inches wide and 17 inches l
    11·1 answer
  • If y varies directly as x, and y is 18 when x is 5, which expression can be used to find the value of y when x is 11?
    10·1 answer
  • A t-shirt increased in price by
    9·1 answer
  • You deposit $3,348 into a savings account that earns 5% simple interest each year. If you save the money for 6 years, how much i
    15·1 answer
  • If there are 49 students in a class 32 are girls and 17 are boys what percent are boys
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!