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
vladimir1956 [14]
3 years ago
12

Rewrite the expression using the properties of exponents.

Mathematics
1 answer:
stiv31 [10]3 years ago
7 0

Answer:

  x^2\sqrt[3]{x}

Step-by-step explanation:

The relevant properties of exponents are ...

  (a^b)(a^c) = a^(b+c)

  (a^b)^c = a^(bc)

  1/a^b = a^-b

__

Your expression simplifies to ...

  \displaystyle x^{\frac{6}{3}+\frac{6}{9}-\frac{1}{3}}=x^{\frac{7}{3}}\\\\=x^2\sqrt[3]{x}

You might be interested in
What is the standard form of the equation of the line through (6,-3) with a slope of 2/3
tangare [24]
Ax+by=c is the standard form
you are given the slope and a point, so first write the equation in point-slope form:
y-(-3)=2/3(x-6)
expand the equation: y+3=(2/3)x-4
(2/3)x-y=7 is the standard form
5 0
3 years ago
Read 2 more answers
Plz help me with this...there might be errors in this but I'm not sure ​
Flura [38]

Step-by-step explanation:

1.  cot(A − B)

From angle sum/difference equations, we know this equals:

cot(A − B) = (cot A cot B + 1) / (cot B − cot A)

But we also know it equals:

cot(A − B) = 1 / tan(A − B)

cot(A − B) = (1 + tan A tan B) / (tan A − tan B)

Setting the two equal to each other:

(cot A cot B + 1) / (cot B − cot A) = (1 + tan A tan B) / (tan A − tan B)

Writing tangent in terms of cotangent:

(cot A cot B + 1) / (cot B − cot A) = (1 + 1 / (cot A cot B)) / (tan A − tan B)

(cot A cot B + 1) / (cot B − cot A) = ((cot A cot B + 1) / (cot A cot B)) / (tan A − tan B)

(cot A cot B + 1) / (cot B − cot A) = (cot A cot B + 1) / ((cot A cot B) (tan A − tan B))

Divide both sides by the numerator:

1 / (cot B − cot A) = 1 / ((cot A cot B) (tan A − tan B))

Take inverse of both sides:

cot B − cot A = (cot A cot B) (tan A − tan B)

Solve for cot A cot B:

cot A cot B = (cot B − cot A) / (tan A − tan B)

cot A cot B = a / b

Now substitute into the first angle difference equation we wrote earlier:

cot(A − B) = (cot A cot B + 1) / (cot B − cot A)

cot(A − B) = (a / b + 1) / a

cot(A − B) = (a / b) / a + 1 / a

cot(A − B) = 1 / b + 1 / a

2. cos A / (1 ± sin A)

From angle sum/difference formulas, we know:

sin (90 ± A) = cos A

cos (90 ± A) = ∓ sin A

Substituting:

sin (90 ± A) / (1 − cos (90 ± A))

From half angle formula, this equals:

cot (45 ± A/2)

Using reflection:

-cot (-45 ∓ A/2)

And finally, phase shift:

tan (-45 ∓ A/2 + 90)

tan (45 ∓ A/2)

Check that you wrote the problem correctly.  Looks like you switched ∓ with ±.

8 0
3 years ago
A fitness club charges $25 per month as well as a one-time $80 fee of all new members which equation represents the cost in doll
madam [21]

Answer: So if you want to find the total cost (c) for a certain number of months (m) and it costs $35 per month, you just need to multiply the number of months by the cost per month. So

35m=c

If you want to see the units cancel

($35/month)(months)=$

The months will cancel out, and you will be left with total dollars.

Not sure about the second part of your question, but if you wanted to figure out how much it would cost to be a member for 6 months, you would just plug in 6 for m.

35(6)=c

c=210

So $210

Step-by-step explanation:

4 0
3 years ago
the ratio of the measures of the sides of a triangle is 21:8:14. if the perimeter of the triangle is 215 ft, find the length of
Anestetic [448]

Answer:

see explanation

Step-by-step explanation:

the perimeter is the sum of the 3 sides of the triangle

add the parts of the ratio 21 + 8 + 14 = 43

divide the perimeter by 43 to find the value of one part of the ratio

\frac{215}{43} = 5 ft ← 1 part of the ratio, hence

21 parts = 21 × 5 = 105 ft

8 parts = 8 × 5 = 40 ft

14 parts = 14 × 5 = 70 ft

the 3 sides of the triangle are 105 ft, 40 ft and 70 ft


6 0
3 years ago
Write an expression for the following a. One more than twice a number b. A number decreased by 6 c. Two-thirds of a number
sergiy2304 [10]

a= 1+2b, b=1-6, c=2/3d. Hope this helps, I used D as a number in C you don't have to use d.

8 0
3 years ago
Other questions:
  • PLEASE HELP ASAP
    13·1 answer
  • A painting measures 15 cm long by 24 cm high. You buy two posters, each showing an enlargement of the painting. The first poster
    11·1 answer
  • what fraction of the states in the southwest region shares a border with mexico is this fraction into simplest form
    11·1 answer
  • Which two-dimensional shape cannot be used to create a prism?
    6·1 answer
  • Find the value for X , what is X?? Anyone knows!! I want to give you brainliest answer too
    8·1 answer
  • A 52 foot ladder is set against the side of the house so that it reaches up 48 feet .if jevonte grabs the ladder at its base and
    13·1 answer
  • 6. Write the<br> equation<br> (0,5) and (5,1)
    7·2 answers
  • 2x² – xy - 15y2<br> How to factor by grouping
    11·1 answer
  • Rewrite the expression with rational as a radical expression
    5·1 answer
  • Help! asap! algebra 2
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!