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Radda [10]
3 years ago
9

Simplify the expression using properties of exponents.

Mathematics
1 answer:
melomori [17]3 years ago
5 0

\dfrac{12a^{-9}b^{-4}}{9a^2b^6}=\dfrac{12:3}{9:3}a^{-9-2}b^{-4-6}=\dfrac{4}{3}a^{-11}b^{-10}\\\\=\boxed{\dfrac{4}{3a^{11}b^{10}}}\to \boxed{B.}\\\\\text{used:}\\\\\dfrac{a^n}{a^m}=a^{n-m}\\\\a^{-n}=\dfrac{1}{a^n}

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Math Help. Greatly Appreciated
Triss [41]
So we know that the perimeter is 1260 feet and that the length is 100 more than the width, but we don't know that the width is.
So we're going to start with finding the width.
w = (x + x + 100) = 1260
from there we need to combine like terms
x + x = 2x
now we have
2x + 100  = 1260
From there, we will need to remove 100 from both sides, leaving us with
2x = 1160
now we'll need to divide both sides by 2
2x \div 2x = x
1160 \div 2 = 580
We now know that the width is 580, or more simply put, x=580.

Finding the length will be the easy part, as we know that it is just 100 more than the width
580 + 100 = 680
If you want an easier way of finding the length, just subtract the width from the perimeter.
1260 - 580 = 680
Leaving the final answer to be
Width = 580
Length = 680

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3 years ago
Table 1<br> Table 2<br> Table 3<br> Table 4. Please help fast
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6 0
3 years ago
Expand<br> (2x - 3)4 <br><br> Can you help me expand this by using the binomial theorem?
saw5 [17]

The value of expanding (2x -3)^4 is 16x^4  + 96x^3  +216x^2 -216x + 81

<h3>How to expand the expression?</h3>

The expression is given as:

(2x -3)^4

Using the binomial expansion, we have:

(2x -3)^4 = ^4C_0 * (2x)^4 * (-3)^0 +^4C_1 * (2x)^3 * (-3)^1 + ^4C_2 * (2x)^2 * (-3)^2 + ^4C_3 * (2x)^1 * (-3)^3 + ^4C_4 * (2x)^0 * (-3)^4

Evaluate the combination factors.

So, we have:

(2x -3)^4 = 1 * (2x)^4 * (-3)^0 + 4 * (2x)^3 * (-3)^1 + 6 * (2x)^2 * (-3)^2 + 4 * (2x)^1 * (-3)^3 + 1 * (2x)^0 * (-3)^4

Evaluate the exponents and the products

(2x -3)^4 = 16x^4  + 96x^3  +216x^2 -216x + 81

Hence, the value of expanding (2x -3)^4 is 16x^4  + 96x^3  +216x^2 -216x + 81

Read more about binomial expansions at:

brainly.com/question/13602562

#SPJ1

8 0
2 years ago
What is the answer ? <br> PLS
grin007 [14]

Answer:

I think a or C

Step-by-step explanation:

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3 years ago
Read 2 more answers
15x-6x+5xsquared -6x cubed - 2x squared +2(6x-2) please help me!!! (Show work)
Stels [109]

15x-6x+5x^2-6x^3-2x^2+2(6x-2)\\\\=15x-6x+5x^2-6x^3-2x^2+12x-4\\\\=(-6x^3)+(5x^2-2x^2)+(15x-6x+12x)+(-4)\\\\=-6x^3+3x^2+21x-4

6 0
4 years ago
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