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sineoko [7]
2 years ago
14

9 Apply index law three to simplify each of the following. a (m2) b 6(p^)

Mathematics
1 answer:
lisabon 2012 [21]2 years ago
6 0

Answer:

  • <u><em>See the law and the hypothetical example below.</em></u>

Explanation:

The <em>index law</em> that you are dealing with is:

            \dfrac{a^m}{a^n}=a^{m-n}

It is used when you have the quotient of powers with the same base.

To show you how to use that rule, let's work an example

Simplify:

              \dfrac{9a(m^2)}{6b(m^4)}

Factor 9 as 3² and 6 as 2×3:

         \dfrac{3^2a(m^2)}{2\times 3b(m^4)}

Group the factor with equal base:

           \dfrac{a}{2b}\times \dfrac{3^2}{3}\times \dfrac{m^2}{m^4}

Use the index law:

            \dfrac{a}{2b}\times {3^{(2-1)}}\times m^{(2-4)}\\\\\\ \dfrac{a}{2b}\times3\times m^{-2}\\\\\\\dfrac{3a}{2bm^2}

Note that it was used an additional rule:           a^{-n}=\dfrac{1}{a^n}

Thus,           m^{-2}=\dfrac{1}{m^2}

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Wayfktgfydfug9ugi0b7ffiobv57f9pogasdfyuiohfdfhjkl
shepuryov [24]

Answer:

Area of the circle = 572.3 square ft.

Step-by-step explanation:

Area of a circle is given by the formula,

Area of a circle = πr²

Here 'r' = Radius of the circle

Diameter of circle given in the picture = 27 ft

Radius of the circle = \frac{27}{2}

                                = 13.5 ft

Area of the circle = π(13.5)²

                             = 3.14(13.5)²

                             = 572.265

                             ≈ 572.3 square ft

5 0
2 years ago
What is the answer for 35 3/4 - 1/8
BabaBlast [244]

Steps:

1. since the least common multiple of 8 and 4 is 8, you would have to make both of the denominators 8.

2. 2 times 4 equals 8, 2 times 3 equals 6

3. 35 3/4 now becomes 35 6/8

4. your new problem is 35 6/8 - 1/8

5. 6 -1= 5

6. your answer is 35 5/8

4 0
3 years ago
What is the remainder when (3x4 + 2x3 − x2 + 2x − 24) ÷ (x + 2)?
ziro4ka [17]

Answer:

=38+x

Step-by-step explanation:

18-2+2x-24÷(x+2) =

16+2x-24-24÷(x+2)

24+16+2x

40+x+2

38+x

5 0
3 years ago
Which expression represents the calculation “add 5 and 6, then multiply by 3"?
Anarel [89]
(5 + 6)3   would represent  what you want.
5 0
2 years ago
Read 2 more answers
Plz help me answer this
timofeeve [1]

Answer:

(-2, -8)

x = -2

y = -8

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS
  • Equality Properties

<u>Algebra I</u>

  • Solving systems of equations using substitution/elimination

Step-by-step explanation:

<u>Step 1: Define systems</u>

13x - 6y = 22

x = y + 6

<u>Step 2: Solve for </u><em><u>y</u></em>

<em>Substitution</em>

  1. Substitute in <em>x</em>:                              13(y + 6) - 6y = 22
  2. Distribute 13:                                 13y + 78 - 6y = 22
  3. Combine like terms:                      7y + 78 = 22
  4. Isolate <em>y</em> term:                                7y = -56
  5. Isolate <em>y</em>:                                         y = -8

<u>Step 3: Solve for </u><em><u>x</u></em>

  1. Define original equation:                    x = y + 6
  2. Substitute in <em>y</em>:                                     x = -8 + 6
  3. Add:                                                      x = -2
4 0
3 years ago
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