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Leona [35]
3 years ago
9

Please apply the properties of rational exponents to simplify expressions with radical or rational exponents. Explain the steps

so that I understand because this is for my notes. Thank you for your time, the properties and problems to apply them to will be below.

Mathematics
1 answer:
schepotkina [342]3 years ago
6 0

Step-by-step explanation:

<u>Product property</u>

  • If the bases are the same, you don't multiple them. However, if they are the same, you do multiple for example : (2³ * 2¹ = 2⁴.when the bases are the same) (2³ * 3¹ =6⁴. When the bases are not the same
  • We add the index.

<u>Quotient</u><u> </u><u>property</u>

  • Same here, if the bases are the same, they stay the way they were
  • We subtract the index

<u>Power</u><u> </u><u>property</u>

  • Here we multiple the index because of the bracket for example : (9²)²= 9⁴

<u>Negetive</u><u> </u><u>exponent</u><u> </u><u>property</u>

  • When ever the index has a negative sign its convected to a fraction, for instance : 9¯² = 1 /9²
  • Note, when it turns to a fraction th index becomes positive
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liubo4ka [24]

Ok, First you have to find the GCF of 120 and 90. When I got the answer I got a GCF of 30. I got 30 by multiplying all the number prime numbers 120 and 90 had, 2×3×5=30  What I did next was  divide thirty by the number of  cracker and also by the number of can of juice.

120÷30= 4

90÷30=  3

So as you can see there could be a maximum 30 of kid's. Each of the kids would receive 4 cans of juice and 3 packs of cheese crackers.


I hope you enjoyed my explanation. :)

3 0
3 years ago
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Can you help me out on this question?
astra-53 [7]

Answer:

4. x= 18

Step-by-step explanation:

We solve the problem like this:

Since 3 is proportional to 6 and 9 is proportional to x, we set up a proportion.

3/9 = 6/x  

We then use cross-multiplication to solve for x.

7 0
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Help me<br><br>6 = 1/5 (4y + 10)​
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Step-by-step explanation:

open the bracket

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(2x + y)2 – (3x – 2y)2 + (x – 4y)(x + 4y<br>11​
Vinvika [58]

Answer:

Step-by-step explanation:

(a+ b)² = a² +  b² + 2ab

(2x + y)² = (2x)² + y² + 2*2x *y

             = 4x²  + y² + 4xy

(a- b)² = a² + b² - 2ab

(3x - 2y)² = (3x)² + (2y)² - 2*3x *2y

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(a - b)(a +b) = a² - b²

(x - 4y(x + 4y) = x² - (4y)²

                     = x² - 16y²

(2x + y)² - (3x - 2y)² + (x - 4y)(x +4y)

  = 4x²  + y² + 4xy - (9x² + 4y² - 12xy) + x² - 16y²

  = 4x²  + y² + 4xy - 9x² - 4y² + 12xy + x² - 16y²

  = 4x² - 9x² + x²  + y² - 4y² - 16y²+ 4xy + 12xy

 =    -4x² - 19y² + 16xy

8 0
2 years ago
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