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
qwelly [4]
1 year ago
12

How do I simplify (6^-2)(3^-3)(3 x 6)^4? Not the answer, just the simplified expression.

Mathematics
1 answer:
Mazyrski [523]1 year ago
5 0

The simplification form of the provided expression is 108 after applying the integer exponent properties.

<h3>What is integer exponent?</h3>

In mathematics, integer exponents are exponents that should be integers. It may be a positive or negative number. In this situation, the positive integer exponents determine the number of times the base number should be multiplied by itself.

We have an expression:

=\left(6^{-2}\right)\left(3^{-3}\right)\left(3\:\cdot \:6\right)^4

=\dfrac{1}{36}\cdot \dfrac{1}{27}\left(3\cdot \:6\right)^4

=\dfrac{1}{36}\cdot \dfrac{1}{27}\cdot \:81\cdot \:1296

=\dfrac{1}{36}\cdot \dfrac{1}{27}\cdot \dfrac{104976}{1}

=\dfrac{104976}{972}

= 108

Thus, the simplification form of the provided expression is 108 after applying the integer exponent properties.

Learn more about the integer exponent here:

brainly.com/question/4533599

#SPJ1

You might be interested in
Please help with this!!!!!
anastassius [24]

Answer:

y = -2x + 7.

Step-by-step explanation:

The slope is (5-7)/1-0 = -2 ,

Checking with other values: slope = (- 3 - 7)/ (5-0) = -10/6 = -2.

So the function is  -2x + c   where c is  some constant.

Plugging in the point (0, 7):

7 = -2(0) + c

c = 7.

So the answer is y = -2x + 7.

7 0
2 years ago
Read 2 more answers
A pineapple is 7 times as heavy as an orange. The pineapple also weighs 870 grams more than the orange.
Kazeer [188]
Let's say that the weight of the orange is x and the weight of the pineapple is y.
The weight of the pineapple is 7 times that of the orange, so
y = 7x.
Also, y = x + 870.
Therefore, 7x = x + 870.
If we take away x from both sides, we get 6x = 870
If we divide both sides by 6, we get x = 145.
Therefore, the weight of the orange is 145 g.
Also, 145 + 870 = 1015.
So the weight of the pineapple is 1015 g.

To convert grams into kilograms, they must be divided by 1000.
Therefore, the weight of the orange in kilograms is 145/1000 = 0.145 kg
And the weight of the pineapple is 1015/1000 = 1.015 kg.

Answers:
a. 145g for the orange and 1015g for the pineapple.
b. 0.145kg for the orange and 1.015kg for the pineapple.
8 0
3 years ago
Read 2 more answers
Difference of pi from the 3rd to the 15th decimal point
FrozenT [24]
Here are all 15 digits of pi:

pi = <span>3.141592653589793

So you can see the difference is 3-1 = 2</span>
3 0
2 years ago
Hi this is for 60point.Pls answer
Bas_tet [7]
1944+648= 2592ft is the answer
4 0
3 years ago
A pianist plans to play 4 pieces at a recital from her repertoire of 20 pieces, and is carefully considering which song to play
balu736 [363]

There are 1,16,280 different recital programs possible.

Given: A pianist plans to play 4 pieces at a recital from her repertoire of 20 pieces and is carefully considering which song to play first, second, etc.

It means the repetition of pieces is not allowed.

When repetition is not allowed, then the number of ways to arrange n things where r things taken together is given by:-

^{n} P_{r} =\frac{n!}{(n-r)!}

Now, the number of different recital programs are:-

^{20} P_{4} =\frac{20!}{(20-4)!}=\frac{20*19*18*17*16!}{16!}=116280

Hence, there are 1,16,280 different recital programs possible.

Learn more about probability here brainly.com/question/251701

#SPJ4

4 0
2 years ago
Other questions:
  • company A offers a semimonthly salary of $2468, company B offers a biweekly salary of $2421. Which company offers the greater an
    11·1 answer
  • Three cylinders have bases that are the
    10·1 answer
  • Help please <br> I need this ASAP
    15·1 answer
  • What is the range of the given function? Thank you !!!!
    9·2 answers
  • Kora has 2 graham crackers and its enough for 1 s'mores. How many s'mores would Kora make if she had 20 graham crackers?​
    13·1 answer
  • Given the function (x) - 9x+8, evaluate w(5).
    14·1 answer
  • Help plz I have 6 minutes
    10·1 answer
  • Which expression is equivalent to -6(- +2x)?<br> -4-12%<br> -4+ 2x<br> 4-12x<br> 4+ 12x
    9·1 answer
  • Estimate the sum or difference<br> 8/9 +4/7=
    7·1 answer
  • In attempting to create a reduced row echelon matrix, DeShawn got the following matri
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!