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ziro4ka [17]
3 years ago
9

Hello, can you please express this without denominators with the work?

Mathematics
1 answer:
Lena [83]3 years ago
5 0
\bf  a^{-{ n}} \implies \cfrac{1}{a^{ n}}\qquad \qquad
\cfrac{1}{a^{ n}}\implies a^{-{ n}}
\\ \quad \\
%  negative exponential denominator
a^{{ n}} \implies \cfrac{1}{a^{- n}}
\qquad \qquad 
\cfrac{1}{a^{- n}}\implies \cfrac{1}{\frac{1}{a^{ n}}}\implies a^{{ n}} \\\\
-----------------------------\\\\
\cfrac{4xy}{mn^5}\implies \cfrac{4xy}{1}\cdot \cfrac{1}{m^1}\cdot \cfrac{1}{n^5}\implies 4xym^{-1}n^{-5}

notice, all you do is, move the factor from the bottom to the top, or from the top to the bottom, and the sign changes, from negative to positive or the other way around, is all there's on that
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Solve for m<br> 3/5m = -15
Mice21 [21]

Answer:

- 25

Step-by-step explanation:

Step 1:

3/5m = - 15      Equation

Step 2:

m = - 15 ÷ 3/5     Divide

Step 3:

m = - 15/1 × 5/3       Multiply

Answer:

m = - 25

Hope This Helps :)

7 0
3 years ago
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Reduce 36/45 to lowest terms and write the numerator in the blank.
saveliy_v [14]
4/5 is your answer

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7 0
3 years ago
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A rectangle has area 64 m2. Express the perimeter of the rectangle as a function of the length L of one of its sides. State the
svp [43]
A rectangle is a two-dimensional shape with two sets of equal, parallel sides. These dimensions are the length (L) and the width (W). The formula for the rectangle's area is the product of the two dimensions. The formula for perimeter is

P = 2L + 2W

Since
A = LW = 64
W = 64/L
Substituting to the formula for perimeter would be,

P = 2L + 2(64/L)
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3 0
3 years ago
kate has a coin collection she keeps 7 of the coins in a box which is only 5% of her entire collection what is the total number
SCORPION-xisa [38]

Answer:

140

Step-by-step explanation:

so where trying to find the unknown total of coins so where gonna call that x

then we will make an equation 5% * x= 7

then to make it easier to solve we will convert 5% to a decimal   .05

and finally to find the answer we will divide both sides by .05

this gives us x= 140 which is the answer

7 0
3 years ago
The cost, C, to produce b baseball bats per day is modeled by the function C(b) = 0.06b2 – 7.2b + 390. What number of bats shoul
kozerog [31]

Check the picture below, that's just an example of a parabola opening upwards.

so the cost equation C(b), which is a quadratic with a positive leading term's coefficient, has the graph of a parabola like the one in the picture, so the cost goes down and down and down, reaches the vertex or namely the minimum, and then goes back up.

bearing in mind that the quantity will be on the x-axis and the cost amount is over the y-axis, what are the coordinates of the vertex of this parabola?  namely, at what cost for how many bats?

\bf \textit{vertex of a vertical parabola, using coefficients} \\\\ C(b) = \stackrel{\stackrel{a}{\downarrow }}{0.06}b^2\stackrel{\stackrel{b}{\downarrow }}{-7.2}b\stackrel{\stackrel{c}{\downarrow }}{+390} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right)

\bf \left( -\cfrac{-7.2}{2(0.06)}~~,~~390-\cfrac{(-7.2)^2}{4(0.06)} \right)\implies (60~~,~~390-216) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill (\stackrel{\textit{number of bats}}{60}~~,~~\stackrel{\textit{total cost}}{174})~\hfill

6 0
3 years ago
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