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
nevsk [136]
1 year ago
6

Simplify the following expression (x^0 y^2/3 z^-2)^3/2 divided by (x^2z^1/2)^-6

Mathematics
1 answer:
sergij07 [2.7K]1 year ago
6 0

\dfrac{\left(x^0 y^{\tfrac 23} z^{-2} \right)^{\tfrac 32}}{\left(x^2 z^{\tfrac 12} \right)^{-6}}\\\\\\=\dfrac{1\cdot \left( y^{\tfrac 23}\right)^{\tfrac 32} \cdot \left(z^{-2} \right)^{\tfrac 32}}{\left(x^2 \right)^{-6} \cdot \left( z^{\tfrac 12} \right)^{-6}}~~~~~~~~~~~~~~~~~~;\left[(ab)^m = a^m b^m\right]\\\\\\=\dfrac{y^{1} \cdot z^{-3}}{x^{-12} \cdot z^{-3}}~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~;\left[(a^m)^n = a^{mn}\right]\\\\\\=\dfrac{y}{x^{-12}}\\\\\\

=\dfrac{y}{\tfrac 1{x^{12}}}~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~;\left[a^{-m} = \dfrac 1{a^m} } \right]\\\\\\=yx^{12}

You might be interested in
The volume of a pyramid is 1/3 the volume of a prism ?<br> True<br> False
marissa [1.9K]

Answer: True

Step-by-step explanation:

Prism volume = lwh

Pyramid Volume = lwh/3

6 0
2 years ago
Is the following a function ?
Vanyuwa [196]
Yes it is a function
6 0
3 years ago
Will an exponential function always, never, or sometimes exceed a polynomial function?
patriot [66]
At some point, the exponential function always exceeds a polynomial function.
3 0
3 years ago
Read 2 more answers
Triangle ABC is congruent to triangle DFE. Find x.
Archy [21]

ΔABC ≡ ΔDFE

⇒ line EF = BC

.

<u>Solve x:</u>

3x - 4 = 20

3x = 24

x = 8

.

Answer: x = 8

4 0
3 years ago
at the factory, a baseballcard is placed in every 9th package of cereal. a football card is placed in every 25th package of the
Anvisha [2.4K]
I believe that is gonna be the 225 package.
Thats the lowest number that both 25 and 9 go into
6 0
3 years ago
Read 2 more answers
Other questions:
  • Two friends argue over how much to bill for a two-hour ranking job. They charge their normal hourly rate plus $2.75 for lawn bag
    7·2 answers
  • 5.63 round to nearest tenth
    10·2 answers
  • How do you simplify the complex fraction 5/6 over 1 1/4
    13·1 answer
  • Solve the simultaneous equation.<br> 7a+3b=46<br> 4a+5b=69
    9·1 answer
  • Record 3 and 2/25 as a decimal
    13·1 answer
  • The high school band sold 500 tickets for a concert. The price of an adult ticket was $14.50, and the price of a student ticket
    14·1 answer
  • suppose the expression was (12-3) to the second power would you have to still simplify 3 to the second power first explain
    14·1 answer
  • 5x-8y=29 find y when x= -1
    10·1 answer
  • What are the two pieces of information needed to write an equation, in slope-intercept
    7·2 answers
  • Luis created a spreadsheet of his expenses for three months. Which of Luis's expenses are variable expenses?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!