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
Inessa [10]
3 years ago
8

Help! Which expression is equivalent? On edge

Mathematics
1 answer:
Ira Lisetskai [31]3 years ago
7 0

Answer: Choice B

x^{1/8}y^{8}

======================================================

Explanation:

The two rules we use are

(a*b)^c = a^c*b^c

(a^b)^c = a^{b*c}

When applying the first rule to the expression your teacher gave you, we can say that:

\left(x^{1/4}y^{16}\right)^{1/2} = \left(x^{1/4}\right)^{1/2}*\left(y^{16}\right)^{1/2}

Then applying the second rule lets us say

\left(x^{1/4}\right)^{1/2}*\left(y^{16}\right)^{1/2} = x^{1/4*1/2}*y^{16*1/2} = x^{1/8}y^{8}

Therefore,

\left(x^{1/4}y^{16}\right)^{1/2}  = x^{1/8}y^{8}

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

In short, we just multiplied each exponent inside by the outer exponent 1/2.

So that explains why the exponents go from {1/4,16} to {1/8,8} for x and y in that exact order.

You might be interested in
Divide x^6/(x^2+1) Please help quickly and thank you!
konstantin123 [22]
I think it's x^4.

(Honestly, I feel 90% positive of this answer, so maybe just get one more opinion!)
3 0
3 years ago
Question 6 Financial Literacy Quiz
NARA [144]

Answer:

i dont know

Step-by-step explanation:

i just want the points

4 0
2 years ago
Read 2 more answers
At the farmers market two pounds of peaches cost 4.20 how much would five pounds cost show work
Marizza181 [45]

Hey!

You can make a proportion:

\frac{2}{\$ 4.20} = \frac{5}{x}

Cross multiply

\$ 4.20 \times 5 = \$ 21

Divide by 2

\$ 21 \div 2 = \$ 10.5

<em>5 pounds would cost $10.50</em>

Good luck and hope this helps! :)

3 0
3 years ago
Read 2 more answers
Write the standard form of the line that passes through the given points. (7, -3) and (4,-8)
Mama L [17]

The line equation is given by

y=mx+b

where <em>m </em>is the slope and <em>b </em>is the interception with <em>Y-axis</em>

3 0
1 year ago
On what part of a cylinder would you find a soup can label? altitude base height lateral surface
ArbitrLikvidat [17]
You would probably find it on the altitude or height.
5 0
3 years ago
Read 2 more answers
Other questions:
  • Dave has $11 to spend on an $8 book and two birthday cards (c) for his friends. How much can he spend on each card if he buys th
    14·1 answer
  • The federal reserve conducts a 10 million open market purchase of government bonds. If the required reserve ratio if 10 percent,
    13·1 answer
  • Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the corre
    6·1 answer
  • 35% of what is 21??????
    5·2 answers
  • If the area of a rhombus is 100 square inches and one of the diagonals is 25 inches long, what is the length of the other diagon
    5·1 answer
  • Wo cards are drawn without replacement from standard deck of 52 cards. What is the probability that the first card is a club and
    11·1 answer
  • The length of an insect’s wing, drawn at a scale of 50:1, is 15 cm. What is the actual length of the wing?
    5·2 answers
  • How many inches are in 3 feet?
    7·2 answers
  • 6. how is twice a number decrease by three is negative seven written as a question A. 2+×_3=7 B. 2×_3=7 C. ×2-3=7 D. (×-3)2=-7​
    14·1 answer
  • Can someone help me with this question? Thank you!
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!