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
miv72 [106K]
3 years ago
9

Rewrite the expression with a rational exponent as a radical expression.

Mathematics
2 answers:
agasfer [191]3 years ago
7 0

Answer:

The correct answer is B. \sqrt[9]{3}

Step-by-step explanation:

The root of a number can be expressed as the number raised to the power whose exponent is a fractional number. The exponent number will be the inverse of the root index.

In this case, three to the two thirds power all raised to the one sixth power is expressed as:

(3^{\frac{2}{3} }) ^{\frac{1}{6}}

Power of a Power Property: This property states that the power of a power can be found by multiplying the exponents.

So, we multiply the exponents:

\frac{2}{3} \times \frac{1}{6}= \frac{1}{9}

The expression would be:

3^{\frac{1}{9} }

which as a radical expression is:

\sqrt[9]{3}

The four options are expressed as:

a) \sqrt[6]{3}

b) \sqrt[9]{3}

c) \sqrt[18]{3}

d) \sqrt[6]{3^3}

The correct answer is B.

STatiana [176]3 years ago
5 0

The answer should be B.

You might be interested in
Lcm of 2²×3×5²and2²×3²×5​
Bingel [31]

Answer:

580

Step-by-step explanation:

because you square the area and identify

4 0
3 years ago
I need help ill give out brainliest
seropon [69]

Answer:

61

Step-by-step explanation:

180-119=61

7 0
2 years ago
Read 2 more answers
One of the legs of a right triangle measures 9 cm and the other leg measures 11 cm.
ikadub [295]

Answer:

\boxed {\boxed {\sf 14.2 \ cm}}

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean Theorem to solve for the sides.

a^2+b^2=c^2

where <em>a</em> and<em> b</em> are the legs and <em>c</em> is the hypotenuse. In this triangle, we know the legs are 9 centimeters and 11 centimeters, or:

  • a= 9 cm
  • b= 11 cm

Substitute these values into the formula.

(9 \ cm)^{2}  +(11 \ cm)^{2} =c^{2}

Solve the exponents.

  • (9 cm)²= 9 cm*9 cm=81 cm²

81 \ cm^{2}  +(11 \ cm)^{2} =c^{2}

  • (11 cm)²= 11 cm*11 cm= 121 cm²

81 \ cm^{2}  +121 cm^{2} =c^{2}

Add the values on the left side.

202 \ cm^{2} =c^{2}

Since we are solving for c, we must isolate the variable. It is being squared and the inverse of a square is the square root. Take the square root of both sides.

\sqrt {202 \ cm^{2} }=\sqrt{c^{2} }

\sqrt {202 \ cm^{2} }=c

14.2126704036 \ cm =c

We are told to round to the nearest tenth.

  • 14.2<u>1</u>26704036

The 1 in the hundredth place tells us to leave the 2 in the tenth place.

14.2 \ cm= c

The hypotenuse is equal to <u>14.2 centimeters.</u>

3 0
2 years ago
Which statement is true about whether Z and B are
Dmitrij [34]

Answer:

Z and B are independent events because P(Z I B) = P(Z)

Step-by-step explanation:

  • If Z and B are independent, Z does not affect B and B does not affect Z.
  • This means that, to know something about B does not help predicting Z, and to know something about B does not help predicting Z.
  • Then,  the probability P (Z/B) = P(Z) because B does not add any information about Z, therefore, the probability of Z only depends on itself.
6 0
3 years ago
Read 2 more answers
6/7 oz converted to pounds
Harman [31]

Answer:

.0536lb

Step-by-step explanation:

you can literally look this up on google

8 0
3 years ago
Other questions:
  • The sum of a square root of a number and 6 is the number
    6·1 answer
  • What is 105,159 round to the nearest ten thousand is
    12·1 answer
  • What is the measure of the angle between a perpendicular bisector and the segment it is bisecting? A. 180° B. 90° C. 45° D. 0°
    8·1 answer
  • (-12+48i)+(15+21i) in simplifying complex numbers
    6·1 answer
  • What is the markdown from $90 to $75?
    13·1 answer
  • A number halved and then halved again is equal to 2 what was the original number
    6·1 answer
  • bru you just times the too numbers then you divide the answer by 2 then you times that by 4 then that your answer BIG BRAIN 1694
    10·1 answer
  • Can someone please help
    14·2 answers
  • Tina has a greenhouse in which she grows strawberries. The sprinkler system in the greenhouse sprays a fine mist to ensure the s
    15·1 answer
  • A straight line passed through the points (3,4) and (3,8). what is the question of the line?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!