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
Alinara [238K]
2 years ago
11

Write the expression using rational exponents. Then simplify and convert back to radical notation.

Mathematics
1 answer:
ioda2 years ago
4 0

Answer:

The radical notation is 3x\sqrt[3]{y^2z}

Step-by-step explanation:

Given

\sqrt[3]{27 x^{3} y^{2} z}

Step 1 of 1

Write the expression using rational exponents.

\sqrt[n]{a^{m}}=\left(a^{m}\right)^{\frac{1}{n}}

=a^{\frac{m}{n}}:\left({27 x^{3} y^{2} z})^{\frac{1}{3}}

$(a \cdot b)^{r}=a^{r} \cdot b^{r}:(27)^{\frac{1}{3}}\left(x^{3}\right)^{\frac{1}{3}} \cdot\left(y^{2}\right)^{\frac{1}{3}} \cdot(z)^{\frac{1}{3}}$

=$(3^3)^{\frac{1}{3}}\left(x^{3}\right)^{\frac{1}{3}} \cdot\left(y^{2}\right)^{\frac{1}{3}} \cdot(z)^{\frac{1}{3}}$

$=\left(3\right)\left(x}\right)} \cdot\left(y}\right)^{\frac{2}{3}} \cdot(z)^{\frac{1}{3}}$

$=3x \cdot(y)^{\frac{2}{3}} \cdot(z)^{\frac{1}{3}}$

Simplify $3 x \cdot(y)^{\frac{2}{3}} \cdot(z)^{\frac{1}{3}}$

$=3 x \sqrt[3]{y^{2} z}$

Learn more about radical notation, refer :

brainly.com/question/15678734

You might be interested in
Jill is standing at the base of her apartment building. She measures the angle of elevation to the top of a nearby tower to be 4
vfiekz [6]
<span>The distance to the base of the tower is 
tan 40=100/x

x=100/tan 40=119.18 m
from the top of the building, we know the adjacent side but not the opposite
tan 30=opposite/119.18
opposite is 119.18*tan30=68.81 m
The opposite side is the height of the tower ABOVE the apartment building. The tower itself is 100 m high, and the remainder of the height, 31.19 m, is the height of the building.</span>
7 0
3 years ago
Read 2 more answers
__________ notation encodes a real number as a mantissa multiplied by a power (exponent) of 2.
Korvikt [17]

Answer:

Step-by-step explanation:

floating point

8 0
2 years ago
I WILL GIVE YOU BRAINLY PLSS
tresset_1 [31]

Answer: A

Step-by-step explanation:

3 0
2 years ago
PLEASE HELP!!!! The problem is in the photo below.
Sergio039 [100]

Answer:

A is correct.

Step-by-step explanation:

Here, the x would represent the gallons per minute. The minutes are unknown, so it's just a variable. It can't be B either, because the addition sign would mean that the pool is being filled instead of drained.

8 0
2 years ago
Find the area of the shaded region. HELP PLEASE. THANKS
NNADVOKAT [17]

Answer:

Step-by-step explanation:

4 0
2 years ago
Other questions:
  • Nancy purchased some bed sheets for $36. They were on sale for 25% off. What was the original price of the bed sheets
    7·2 answers
  • Express 125 = 5x as a logarithmic equation.
    7·1 answer
  • 7/12 ___ 19/36
    15·2 answers
  • 7 less than 14 times a number
    6·1 answer
  • Help me.. ASAP just number 10 pls
    7·2 answers
  • Solve each equation for the given variable 21.5 + z = -52.9
    10·2 answers
  • You are selecting meals for a school event and you are planning on at least 240 students at this event. The chicken meal will co
    12·1 answer
  • What is m∠N?<br><br> A. 19°<br> B. 68°<br> C. 95°<br> D. 112°
    13·1 answer
  • A square box is being cut apart and has the measurements shown below. What is the surface are each square is 3.5 inches and ther
    5·1 answer
  • A group of 493 people is going on a boat tour. If each boat holds 7 people, how many people will be on the last boat?
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!