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
Strike441 [17]
3 years ago
10

How do I multiply and divide with exponents? See below for picture.

Mathematics
1 answer:
salantis [7]3 years ago
8 0
Multiplying and Dividing Exponents are very easy.
When they are multiplied, we add the exponent numbers together.
When they are divided, we subtract the exponent numbers.
In this example, h^{-18}* h^3/h^{0}
We can conclude that h^{0} is 1 because,
any number to the power of 0 is 1
\frac{ h^{-18}*  h^{3} }{1}=h^{-18} *  h^{3}
take the exponents alone:
-18+3 (Because it is multiplication) =-15
Final answer: h^{-15}

You might be interested in
Solve for X, square root 2x = square root x+5
inessss [21]
X = 5
Move the variable then cells to like terms and simplify
4 0
2 years ago
Solve for h in the following equation: ghi=j
USPshnik [31]
Ghi=j
h/gi=j/gi
h=j/gi
the sign "/" means divide by
4 0
2 years ago
Maurice and Johanna have appreciated the help you have provided them and their company Pythgo-grass. They have decided to let yo
jasenka [17]
<span><span>1.A triangular section of a lawn will be converted to river rock instead of grass. Maurice insists that the only way to find a missing side length is to use the Law of Cosines. Johanna exclaims that only the Law of Sines will be useful. Describe a scenario where Maurice is correct, a scenario where Johanna is correct, and a scenario where both laws are able to be used. Use complete sentences and example measurements when necessary.
</span>
The Law of Cosines is always preferable when there's a choice.  There will be two triangle angles (between 0 and 180 degrees) that share the same sine (supplementary angles) but the value of the cosine uniquely determines a triangle angle.

To find a missing side, we use the Law of Cosines when we know two sides and their included angle.   We use the Law of Sines when we know another side and all the triangle angles.  (We only need to know two of three to know all three, because they add to 180.  There are only two degrees of freedom, to answer a different question I just did.

<span>2.An archway will be constructed over a walkway. A piece of wood will need to be curved to match a parabola. Explain to Maurice how to find the equation of the parabola given the focal point and the directrix.
</span>
We'll use the standard parabola, oriented in the usual way.  In that case the directrix is a line y=k and the focus is a point (p,q).

The points (x,y) on the parabola are equidistant from the line to the point.  Since the distances are equal so are the squared distances.

The squared distance from (x,y) to the line y=k is </span>(y-k)^2
<span>
The squared distance from (x,y) to (p,q) is </span>(x-p)^2+(y-q)^2.<span>
These are equal in a parabola:

</span>
(y-k)^2 =(x-p)^2+(y-q)^2<span>

</span>y^2-2ky + k^2 =(x-p)^2+y^2-2qy + q^2

y^2-2ky + k^2 =(x-p)^2 + y^2 - 2qy+ q^2

2(q-k)y =(x-p)^2+ q^2-k^2

y = \dfrac{1}{2(q-k)} ( (x-p)^2+ q^2-k^2)

Gotta go; more later if I can.

<span>3.There are two fruit trees located at (3,0) and (−3, 0) in the backyard plan. Maurice wants to use these two fruit trees as the focal points for an elliptical flowerbed. Johanna wants to use these two fruit trees as the focal points for some hyperbolic flowerbeds. Create the location of two vertices on the y-axis. Show your work creating the equations for both the horizontal ellipse and the horizontal hyperbola. Include the graph of both equations and the focal points on the same coordinate plane.

4.A pipe needs to run from a water main, tangent to a circular fish pond. On a coordinate plane, construct the circular fishpond, the point to represent the location of the water main connection, and all other pieces needed to construct the tangent pipe. Submit your graph. You may do this by hand, using a compass and straight edge, or by using a graphing software program.

5.Two pillars have been delivered for the support of a shade structure in the backyard. They are both ten feet tall and the cross-sections​ of each pillar have the same area. Explain how you know these pillars have the same volume without knowing whether the pillars are the same shape.</span>
3 0
2 years ago
Convert 0.78 meters to milimeters
lyudmila [28]
The answer you are looking for is 780 millimeters
3 0
3 years ago
Read 2 more answers
a rug is shaped like a rectangle whose perimeter is 204ft. the length is 5 time as long as the width. Find the length and the wi
seraphim [82]
,,,,,,..,,.......,,/
3 0
2 years ago
Other questions:
  • What's the answer for this?
    14·2 answers
  • What is 9/1 times 7/10
    5·1 answer
  • Find the equation of the line that contains the points (3,5) and (7, 7). Write the equation in the form y = mx + b and identify
    15·1 answer
  • Explain how solving an equation with several variables is similar to and different from the
    12·1 answer
  • If p is true and ~q is false, then p ➡️ ~q is__________false.
    7·1 answer
  • The segments shown below could form a triangle?
    8·2 answers
  • How can you help this student make sense of her method? <br> ONLY ANSWER IF YOU KNOW THE ANSWER
    11·1 answer
  • A school guidance counselor is researching the number of high school students who have a part-time job. She emails a survey to 5
    9·1 answer
  • The total cost of a sweater and a pair of pants was $89.47. If the price of the sweater was $8.53 less than the pair of pants, w
    12·1 answer
  • What is the equation of the line in slope- intercept form
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!