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
allsm [11]
3 years ago
8

Simplify. Evaluate the numerical bases. 3^2 b^2 c^-4 *3^-1 b^-5 c^7

Mathematics
1 answer:
photoshop1234 [79]3 years ago
8 0
Hope I can be of assistance!

3^2b^2c^{-4}\cdot \:3^{-1}b^{-5}c^7 \ \textgreater \  \mathrm{Apply\:exponent\:rule}:\ \:a^b\cdot \:a^c=a^{b+c}
3^{-1}\cdot \:3^2=\:3^{2-1}=\:3^1=\:3 \ \textgreater \  3b^{-5}b^2c^{-4}c^7

\mathrm{Apply\:exponent\:rule}: \:a^b\cdot \:a^c=a^{b+c} \ \textgreater \  b^{-5}b^2=\:b^{2-5}=\:b^{-3}
3b^{-3}c^{-4}c^7

\mathrm{Apply\:exponent\:rule}: \:a^b\cdot \:a^c=a^{b+c} \ \textgreater \  c^{-4}c^7=\:c^{-4+7}=\:c^3
3b^{-3}c^3

\mathrm{Apply\:exponent\:rule}: \:a^{-b}=\frac{1}{a^b} \ \textgreater \  b^{-3}=\frac{1}{b^3} \ \textgreater \  3\cdot \frac{1}{b^3}c^3

\mathrm{Multiply\:fractions}: \:a\cdot \frac{b}{c}=\frac{a\:\cdot \:b}{c} \ \textgreater \  \frac{1\cdot \:3c^3}{b^3}

Finally
\mathrm{Apply\:rule}\:1\cdot \:a=a \ \textgreater \  \frac{3c^3}{b^3}

Hope this helps!
You might be interested in
Juanita is on vacation and needs a taxi ride
harkovskaia [24]

Answer:

23 miles

Step-by-step explanation:

.55 X 23 = 12.65

12.65+1.85 = 14.5 and that is the maximum number and I see it right.

6 0
3 years ago
PLS I NEED ASAP I WILL GIVE BRAINLIEST AND 30+ POINTS
Nadya [2.5K]

Question:

The diagram below shows the graph of a proportional relationship. The plotted point is (6,9) .

What is the unit rate of this graph? Be sure to simplify your answer.

Answer:

The unit rate of this graph is 1.5

Explanation:

The graph shows a proportional relationship and the plotted point is (6,9).

The unit rate of the graph can be determined by the formula,

\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=m

Thus, from the graph, the coordinates are (0,0) and (6,9)

Substituting the coordinates in the formula, we have,

\frac{6-0}{9-0} =m

Subtracting, we get,

m=\frac{6}{9} =1.5

Thus, the unit rate of the graph is 1.5

7 0
2 years ago
What is the inverse of the function y=3x+4
almond37 [142]
f^{-1} (x)=- \frac{4}{3} + \frac{x}{3}
6 0
2 years ago
What is the approximate volume of the cone? Use 3.14 for π.
telo118 [61]

Answer:

About 131.95 (you may have to round up)

Step-by-step explanation:

Volume of a cone = pi(r^2)(h/3)

= pi(3^2)(14/3)

= pi(9)(4 & 4/5)

= pi(43.2)

If your teacher wants an exact number, you have to multiply 43.2 y whatever your teacher says to shorten pi to, usually 3.14. The about 131.95 is from 43.2*3.14 I think.

8 0
2 years ago
If someone used 1/4 of an ounce of nuts to make 1/12 of a recipe of cookies , how many ounces of nuts will she need to make one
statuscvo [17]
1/3 multiplied by 1/4
6 0
3 years ago
Other questions:
  • If the graph of y = |x| is translated so that the point (1, 1) is moved to (4, 1), what is the equation of the new graph?
    15·1 answer
  • If you could find answers to both questions that would be great thx
    14·1 answer
  • Please help I only need part b and part c​
    6·1 answer
  • Which is the graph of x^2/9 + y^2/4 = 1
    9·1 answer
  • Luke goes to summer camp with $45 in spending money. The amount of money he has left after n days at camp is modeled by the recu
    9·1 answer
  • These rectangles are similar. find the measurement of the missing side.
    9·1 answer
  • Mr. Hosley has a brother that is 6 years older. Together their ages are 106. How old is each of these siblings?
    6·2 answers
  • Determine the slope and y-intercept.
    7·1 answer
  • PLSSSSSS ANGLES I need helppppp
    13·2 answers
  • I have a math quiz so help before I fail... please help :(
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!