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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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3 years ago
Give the equation of the line through the point ( - 10,9) with a slope of -1/5
hichkok12 [17]

Equation of the line in slope-intercept form is y = -1/5 x + 9

Step-by-step explanation:

  • Step 1: Given slope of the line is -1/5 and the point is (-10, 9). Here m=-1/5.

⇒ y = -1/5 x + b  ------ (1)

  • Step 2: Find the y-intercept of the line, b. Since the line passes through (-10, 9) substitute x = -10 and y = 9 in eq(1)

⇒ 9 = -1/5 × -10 + b = 2 + b

⇒ b = 9 - 2 = 7

  • Step 3: Slope intercept form of the line is y = mx + b. Form the equation using the values of m and b.

⇒ y = -1/5 x + 7

It can also be written as 5y + x = 35

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3 years ago
50 POINTS IF YOU ANSWER CORRECTLY please I need help:)
Zinaida [17]

Answer:

60 degree

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8 0
3 years ago
Read 2 more answers
Anybody got any answers?
musickatia [10]
Hey there!

So, what you would do is . . . 

360÷4 . . .

90÷8=11.5

Area=\boxed{\boxed{11.5}}

Hope this helps.
~Jurgen

4 0
3 years ago
What is the common factors of 36 and 54
borishaifa [10]
36×3 and 54×2 is 108
8 0
3 years ago
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