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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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Answer:

In a system, the substitution method is one of the 3 main ways to solve a system and can be very efficient at times.

<u>Skills needed: Systems, Algebra</u>

Step-by-step explanation:

1) Let's say we are given two equations below:

  y=4x \\ 4x-5y=-32

  We can use substitution here by substituting in for y in the second equation.   This means we put in 4x for y in the 2nd equation so we only have x variables in the equation, allowing us to solve for x.

2) Solving it out:

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A total of 815 tickets were sold for the school play. They were either adult tickets or student tickets. There were 65 more stud
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Answer:

<u>375 Adult Tickets.</u>

Step-by-step explanation:

Here, we can simply set up an equation using variable <em>x </em>in place of the unknown student/adult tickets.

x = # of <u>adult</u> tickets sold

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2) 2x + 65 = 815 (added common variables together)

3) 2x = 750 (negated the +65, subtracted it from both sides)

4) x = 375 (divided both sides by 2)

5) 815 - 375 = 440 (subtracted the x from the total number of <u>adult</u> tickets, to recieve the amount of <u>childrens</u>' tickets.

Therefore,

Since there were fewer adult tickets sold (-65), 375 is the number of adult tickets, and 440 is the number of student tickets.

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What is the circumference of a circle with a diameter of 9 inches? (use 22/7 for pi)
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