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
Leona [35]
3 years ago
9

Please apply the properties of rational exponents to simplify expressions with radical or rational exponents. Explain the steps

so that I understand because this is for my notes. Thank you for your time, the properties and problems to apply them to will be below.

Mathematics
1 answer:
schepotkina [342]3 years ago
6 0

Step-by-step explanation:

<u>Product property</u>

  • If the bases are the same, you don't multiple them. However, if they are the same, you do multiple for example : (2³ * 2¹ = 2⁴.when the bases are the same) (2³ * 3¹ =6⁴. When the bases are not the same
  • We add the index.

<u>Quotient</u><u> </u><u>property</u>

  • Same here, if the bases are the same, they stay the way they were
  • We subtract the index

<u>Power</u><u> </u><u>property</u>

  • Here we multiple the index because of the bracket for example : (9²)²= 9⁴

<u>Negetive</u><u> </u><u>exponent</u><u> </u><u>property</u>

  • When ever the index has a negative sign its convected to a fraction, for instance : 9¯² = 1 /9²
  • Note, when it turns to a fraction th index becomes positive
You might be interested in
Felipe earns 5% commission on his sales at Best Buy. One week his sales totaled $9,650. What was his commission for the week?
tensa zangetsu [6.8K]

\bf \begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{5\% of 9650}}{\left( \cfrac{5}{100} \right)9650}\implies 482.5

3 0
3 years ago
a blue scarf is 1.7 yards long. A green scarf is 1 whole ad 4/5 yards long. Which scarf is longer ? How much longer ?
Romashka [77]
4/5 as a decimal is 0.8
so 1.7 would be 1.70 and the green one would be 
1.08 so obviously the blue scarf is longer

7 0
3 years ago
Find the value of the variables in each figure. Explain your reasoning.
sergiy2304 [10]

Answer:

see explanation

Step-by-step explanation:

The figure has one pair of parallel sides and is a trapezoid.

Each lower base angle is supplementary to the upper base angle on the same side, thus

15x + 30 + 10x = 180 , that is

25x + 30 = 180 ( subtract 30 from both sides )

25x = 150 ( divide both sides by 25 )

x = 6

Also

3y + 18 + 90 = 180 , that is

3y + 108 = 180 ( subtract 108 from both sides )

3y = 72 ( divide both sides by 3 )

y = 24

-------------------------------------------------------------------

2x, 90 and x lie on a straight line and sum to 180 , thus

2x + 90 + x = 180 , that is

3x + 90 = 180 ( subtract 90 from both sides )

3x = 90 ( divide both sides by 3 )

x = 30

------------

2y and x are alternate angles and congruent , thus

2y = x = 30 ( divide both sides by 2 )

y = 15

4 0
3 years ago
Determine the domain and range for the relation
Ratling [72]

Answer:

  • Domain: \mathbb{N}
  • Range: \mathbb{N}

Step-by-step explanation:

The domain is the set of x values and the range is the set of y-values.

3 0
1 year ago
What is the area of the circle?
Bumek [7]

Answer:

363

Step-by-step explanation:

Formula for area of a circle

A = πr^2

Where r = radius

The circle has a given radius of 11

To find the area of the circle we simply substitute r in the formula with the value of the radius (11)

( Also note that the question says to use 3 for π )

A = πr^2

π = 3

r = 11

Substitute values in formula

A = (3)(11)^2

11^2 = 121

A = 121(3)

121(3) = 363

A = 363

8 0
3 years ago
Read 2 more answers
Other questions:
  • A set of trading cards sells for $5 before tax. After sales tax, it costs $5.50. What is the sales tax rate?
    7·2 answers
  • Solve the equation or formula for the indicated variable. S = 5 r 2 t, for t
    9·1 answer
  • When Kaitlin divining a fraction by 1/2 the result was a mixed number was the original less than it greater the an 1/2
    6·1 answer
  • Find the slope of line passing through the two points, (3, -4) and (1, 2).
    15·1 answer
  • Jack is building a square garden. Each side length measures 777 meters. Jack multiplies 7\times77×77, times, 7 to find the amoun
    10·2 answers
  • Mr smith is expanding the size of hos garden. his new garden will be 3 times as long, and two times as wide as his orginal garde
    13·1 answer
  • My brother is 4 times as old as I am. Six years from now, he will be twice as old as I will be. How old is my brother now?
    10·2 answers
  • In a poll of 745 randomly selected adults, 591 said that it is morally wrong to not report all income on tax returns. Use a 0.01
    11·1 answer
  • Write an explicit formula for an, the nth term of the sequence 40, 35, 30, ....
    8·2 answers
  • The radius of a circle is 2 inches. What is the area of a sector bounded by a 90° arc?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!