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
marishachu [46]
3 years ago
6

84. Use properties of exponents to rewrite each expression with only positive, rational exponents. Then find the numerical value

of each expression when x = 9, y= 8, and z= 16. In each case, the expression evaluates to a rational number.
C. X-3/2 Y4/3 Z-3/4
Mathematics
1 answer:
Yakvenalex [24]3 years ago
4 0

Answer:

a) 1/27

b) 16

c) 1/8

Step-by-step explanation:

a) x^{-3/2}

One of the properties of the exponents tells us that when we have a negative exponent we can express it in terms of its positive exponent by turning it into the denominator (and changing its sign), so we would have:

x^{-3/2}=\frac{1}{x^{3/2} }

And now, solving for x = 9 we have:

\frac{1}{x^{3/2}}=\frac{1}{9^{3/2} }  =\frac{1}{27}

b) y^{4/3}

This is already a positive rational exponent so we are just going to substitute the value of y = 8 into the expression

y^{4/3}=8^{4/3}=16

c) z^{-3/4}

Using the same property we used in a) we have:

z^{-3/4}=\frac{1}{z^{3/4} }

And now, solving for z = 16 we have:

\frac{1}{z^3/4} } =\frac{1}{16^{3/4} } =\frac{1}{8}

You might be interested in
I really need help, please
r-ruslan [8.4K]

Step-by-step explanation:

Marcus rent a car for 2 days

7 0
3 years ago
Read 2 more answers
What is the domain of this quadratic function?
Levart [38]

Answer: its c

Step-by-step explanation:

its c

4 0
2 years ago
Read 2 more answers
Help me please, please help
Sergio [31]

Answer:

Heyo. The answer is 60.48

Step-by-step explanation:

This is pretty easy, all you have to do is multiply the length, height, and width. Remember this. LxHxW. Thats is the formula. You do 4.2 cm, multiplied by 3.2 cm, then multiply that by 4.5 cm. Hope this helps! :)

8 0
3 years ago
Sarah purchased 43.11 worth of coffee that sold for 23.95 per pound. How many pounds of coffee did Sarah buy?
ArbitrLikvidat [17]

Answer:

1.8

Step-by-step explanation:

5 0
2 years ago
Georgie joins a gym. she pays $25 to sign-up and then $15 each month.
Len [333]
In the y=mx+b format or a linear equation, this would be y=15x+25
8 0
3 years ago
Other questions:
  • PLEASE ANSWER ASAP IM BEGGING YOU THANKS :)
    13·1 answer
  • My age if I am half as old as two more than twice Mack's age if Mack is m years old.
    15·1 answer
  • an embroidered place mat costs 2.95 an embroidered tablecloth is similar to the place mat the ratio of the corresponding sides i
    15·1 answer
  • The diameter of a circle is 14 miles what is the circumference
    15·1 answer
  • 8 ÷ 1 = 6 + ____? A) 2 B) 4 C) 6 D) 8
    10·2 answers
  • The big bike shop has skates 15% off the regular price. the regular price is $89.
    6·1 answer
  • Solve 5x2-2x-8=0 using the quadratic formula.
    5·2 answers
  • I need help with this problem :)
    9·1 answer
  • Question 9 of 10
    10·1 answer
  • If y is inversely proportional to x and y=−54 when x=38, find y if x=30. (Round off your answer to the nearest hundredth.)
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!