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photoshop1234 [79]
3 years ago
13

(-2p⁻⁵q . 4p⁵q⁻³)² Explain with steps

Mathematics
1 answer:
Anit [1.1K]3 years ago
3 0

Answer:

\frac{64}{q^{4}}

or

64q^{-4}

Step-by-step explanation:

Remember the properties

Product rules

a^{n} a^{m}=a^{n+m}

Power rules

(a^{n})^{m}=a^{n*m}

we have

(-2p^{-5}q4p^{5}q^{-3})^{2}

Applying the product rules

(-2(4)p^{-5+5}q^{-3+1})^{2}

(-8p^{0}q^{-2})^{2}

(-8q^{-2})^{2}

Applying the power rules

64q^{-4}

\mathrm{Apply\:exponent\:rule}:\quad \:a^{-b}=\frac{1}{a^b}

64q^{-4}=\frac{64}{q^{4}}

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What is the quotient of 1/8 divided by 4
barxatty [35]

Answer:

0.03125

Step-by-step explanation:

1/8 would also equal to (1 divided by 8) which equals 0.125. The next step is to divide 0.125 by 4. you will get 0.03125

3 0
3 years ago
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Suppose that the water level of a river is 34 feet and that it is receding at a rate of 0.5 foot per day. Write an equation for
vivado [14]

Answer:

The equation to represent the rate of receding water level is                     L = 34 (0.5)^{d}   .

Step-by-step explanation:

Given as :

The initial level of water in river = 34 feet

The rate of receding water level = 0.5 foot per day

Or, The rate of percentage of receding water level = 50 % per day

Let the level of water after d days = L

Now,

The level of water after d days = initial level of water × ( (1-\dfrac{\textrm Rate}{100})^{Time}

I.e L = 34 × ( (1-\dfrac{\textrm 50}{100})^{d}

∴  L = 34 × (0.5)^{d}

Hence The equation to represent the rate of receding water level is                L = 34 (0.5)^{d}   . Answer

5 0
3 years ago
LA=<br> Round your answer to the nearest hundredth.<br> С<br> А<br> 2<br> 6<br> B
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Answer:

Step-by-step explanation:

5 0
2 years ago
Geometry help needed! Thanks.
VMariaS [17]

EN = NE

Answer

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NE

4 0
3 years ago
What is the equation of the function shown in the graph provided?<br><br> y= _ x + _
Mkey [24]

Answer:

y = -3x - 6

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS

<u>Algebra I</u>

Slope Formula: m=\frac{y_2-y_1}{x_2-x_1}

Slope-Intercept Form: y = mx + b

  • m - slope
  • b - y-intercept

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Find points from graph.</em>

x-intercept (-2, 0)

y-intercept (0, -6)

<u>Step 2: Find slope </u><em><u>m</u></em>

  1. Substitute:                  m=\frac{-6-0}{0+2}
  2. Subtract/Add:             m=\frac{-6}{2}
  3. Divide:                        m=-3

<u>Step 3: Redefine</u>

Slope <em>m</em> = -3

y-intercept <em>b</em> = -6

<u>Step 4: Write linear equation</u>

Slope-Intercept Form:   y = -3x - 6

7 0
3 years ago
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