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
bixtya [17]
3 years ago
11

Need help ASAP

Mathematics
1 answer:
joja [24]3 years ago
8 0

Part (1) : The solution is 729

Part (2): The solution is $\frac{1}{16 x^{8}}$

Part (3): The solution is $\frac{2 x^{2}}{3 y z^{7}}$

Explanation:

Part (1): The expression is 3^{2} \cdot3^{4}

Applying the exponent rule, $a^{b} \cdot a^{c}=a^{b+c}$, we get,

$3^{2} \cdot 3^{4}=3^{2+4}$

Adding the exponent, we get,

3^{2} \cdot3^{4}=3^6=729

Thus, the simplified value of the expression is 729

Part (2): The expression is $\left(2 x^{2}\right)^{-4}$

Applying the exponent rule, $a^{-b}=\frac{1}{a^{b}}$, we have,

$\left(2 x^{2}\right)^{-4}=\frac{1}{\left(2 x^{2}\right)^{4}}$

Simplifying the expression, we have,

\frac{1}{2^4x^8}

Thus, we have,

$\frac{1}{16 x^{8}}$

Thus, the value of the expression is $\frac{1}{16 x^{8}}$

Part (3): The expression is $\frac{2 x^{4} y^{-4} z^{-3}}{3 x^{2} y^{-3} z^{4}}$

Applying the exponent rule, $\frac{x^{a}}{x^{b}}=x^{a-b}$, we have,

\frac{2x^{4-2}y^{-4+3}z^{-3-4}}{3}

Adding the powers, we get,

\frac{2x^{2}y^{-1}z^{-7}}{3}

Applying the exponent rule, $a^{-b}=\frac{1}{a^{b}}$, we have,

$\frac{2 x^{2}}{3 y z^{7}}$

Thus, the value of the expression is $\frac{2 x^{2}}{3 y z^{7}}$

You might be interested in
On line A, each time x increases by 1 y increases by
kompoz [17]

Answer:

y increases by 2

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
The computer club spent $2,565 on mouse pads. The me never plan to sell the nous pads during the book fair. If they charge $9.50
Lapatulllka [165]
The answer is 270 because 2,565/9.5=270 hope this helps!
8 0
2 years ago
The clean up hitter on a baseball tean batted 1/3 of the runs the team scored. The hitter batted in 3 runs. Select the equation
Goryan [66]
The answer is :
a. 1/3 (n)=3
n=9

8 0
3 years ago
What would be the function for this?
coldgirl [10]

Answer:

f(x) = 2x + 4

Step-by-step explanation:

This is an arithmetic sequence

y = a1 + (x - 1)d   where a1 = first term and d = common difference  so it is

y = 6 + (x - 1)*2

y = 2x  + 4    answer



7 0
3 years ago
How to solve: a parade traveled 4 miles in 2 hours. how far did tge parade travel per minute?
jek_recluse [69]

There's a really easy way to convert any units to other units.

Right now, we have the fraction  (4 miles) / (2 hours).

We want to find a fraction that's exactly equal to that one,
but has the units of  (miles/minute)  or maybe  (feet/minute).

Just take the original fraction, and multiply it by some other
fractions.

Each fraction you multiply it by must have the value of ' 1 ' so
you don't change the value of the original fraction.  But it can
have different units, that cancel with other units to eventually
give you the units you want.

      (4 miles / 2 hours) times (1 hour / 60 minutes)

The second fraction is equal to ' 1 ', because the top and the bottom
have the same value ...  1 hour is the same thing as  60 minutes.

Multiply the fractions:  (4 miles x 1 hour) / (2 hour x 60 minutes)

Now you can cancel 'hour' from the top and the bottom, and you have

             (4 miles x 1) / (2 x 60 minutes)

               = (4 miles) / (120 minutes) 

               =          (4 / 120) mile/minute = 0.0333... mile / minute .

Let's do it again, go a little farther, and get an answer that
might mean more and feel more like an answer. 

   (4 miles) / (2 hours) x (5280 feet / mile) x (1 hour / 60 minutes)

The 2nd and 3rd fractions both have the value of ' 1 ', because
the top is equal to the bottom. 

Multiply all three fractions: 

     (4 miles x 5280 feet x 1 hour) / (2 hours x 1 mile x 60 minutes)

You can cancel both 'mile' and 'hour' out of the top and bottom,
and look what you have left:

     (4 x 5280 feet x 1) / (2 x 1 x 60 minutes)

  =  (4 x 5280) / (2 x 60)  feet / minutes

  =  (21,120 / 120)  feet/minute   =    176 feet per minute
  
3 0
3 years ago
Read 2 more answers
Other questions:
  • Solve for x.<br> 2x+5=3-7x
    12·1 answer
  • Sophie has 42 notebooks and 35 folders. She wants to put the same amount of notebooks and folders into bags to sell. What is the
    7·2 answers
  • A COFFEE POT HOLDS 5 QUART OF COFFEE. HOW MUCH IS THIS IN CUPS.
    15·2 answers
  • Addison drove 1,170 miles in 18 hours what was his speed in miles per hour
    11·2 answers
  • What is the expression in simplest form? 21 - 6n + 2(2n -5 )-3n
    11·1 answer
  • For the figure below the base area and the height has been provided. find the VOLUME
    15·1 answer
  • 4/5 n = 1 - 1/5 n<br> solve for n:<br> please help
    15·2 answers
  • HELP FAST PLSSSS IM DESPERATE RLLY
    12·2 answers
  • Pls help will give points
    10·1 answer
  • PLEASE HELP LOOK AT THE PICTURE...What is 5 1/3 hours in hours and minutes? 5 hours 20 minutes 5 hours 30 min 5 hours 3 minutes
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!