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
german
3 years ago
12

What is the simplified expression for,

Mathematics
1 answer:
Nostrana [21]3 years ago
6 0

Here are a few rules you need to know for this equation:

  • Multiplying exponents of the same base: x^m\times x^n=x^{m+n}
  • Dividing exponents of the same base: \frac{x^m}{x^n}=x^{m-n}
  • Turning a negative exponent to a positive one: x^{-m}=\frac{1}{x^m};\frac{1}{x^{-m}}=x^m

So this is our algebraic expression: \frac{3^{-4}\times 2^3\times 3^2}{2^4\times 3^{-3}}

Firstly, multiply 3^-4 and 3^2: \frac{3^{-4+2}\times 2^3}{2^4\times 3^{-3}}=\frac{3^{-2}\times 2^3}{2^4\times 3^{-3}}

Next, divide:

\frac{3^{-2}\times 2^3}{2^4\times 3^{-3}}=3^{-2-(-3)}2^{3-4}=3^12^{-1}

Next, turn the negative exponent into a positive one: 3^12^{-1}= \frac{3}{2}

<u>Your final answer is 3/2, or 1.5.</u>

You might be interested in
Solve: log (7t + 2) = 2<br>t =​
IrinaK [193]

Answer:

t = 14

Step-by-step explanation:

log (7t + 2) = 2

Raise each side to the power of 10

10 ^log (7t + 2) =10^ 2

7t+2 = 100

Subtract 2 from each side

7t+2-2 = 100-2

7t = 98

Divide each side by 7

7t/7 = 98/7

t = 14

7 0
4 years ago
Read 2 more answers
Write a linear function for the following in slope-intercept form: (2,26)<br> (8,44)*
marshall27 [118]

Answer:

{ \tt{slope =  \frac{44 - 26}{8 - 2} }} = 3 \\ y = mx + c \\ { \bf{26 = (3 \times 2) + c}} \\ c = 20 \\  \\  =  > { \boxed{ \tt{y = 3x + 20}}}

7 0
3 years ago
Read 2 more answers
Write down 4<br>equivalent fractions for<br>1/8​
kotykmax [81]

1.  2/16

2. 3/24

3. 4/32

4. 8/64

I hope they are helpful

4 0
3 years ago
Read 2 more answers
A shape is picked at random from the group below. Which event has a theoretical probability of exactly 3/4? Check all that apply
Marizza181 [45]

Answer:

Theoretical probability is a method to express that something will occur. It is calculated by dividing the number of favorable outcomes by the total number of outcomes.

So, the correct answers are :

A. not picking a square

D. picking a shape that has only straight edges

E. not picking a circle

3 0
3 years ago
Read 2 more answers
If you drive for 3 hours at 60 mph and then for 2 hours at 70 mph, how far will you travel?              a.) 300 miles  b.) 320 
Stella [2.4K]
The answer is 60x3= 180+70x2= 320
8 0
3 years ago
Other questions:
  • The triangles are similar. If KL = 5, JL = 6, and PM = 9, find PN. Round to the nearest tenth.
    13·1 answer
  • Brooke and two friends went to the movies and spent a total of $42. The movie tickets were $5 each and they each bought a popcor
    6·2 answers
  • riverside and mount pleasant are 16 km from each other.How far apart would the cities be on a map that has a scale of 1 cm:8 km?
    11·1 answer
  • Pls help ASAP I will give brainlyest
    15·1 answer
  • Please Helppp!!! It was due Yesterday
    5·1 answer
  • 162 is what percent of 200
    13·2 answers
  • Which expression is equivalent to 4.8+2.2w-1.4w+2.4
    14·1 answer
  • Which expression is equivalent to 9(3u+5u)​
    6·1 answer
  • If the measure of angle 6 was 20 degrees what would be the measure of angle 4?
    10·1 answer
  • The intersection of the graph of two linear equations can be located on a cartesian grid by starting at the origin, moving 5 uni
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!