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leonid [27]
3 years ago
8

Division property of exponents

Mathematics
1 answer:
PSYCHO15rus [73]3 years ago
3 0
\dfrac{a^m}{a^n} = a^{m - n}

\dfrac{2u^2 \times 2u^4v^2}{3u^3v^3} =

= \dfrac{4u^5v^2}{3u^3v^3}

= \dfrac{4}{3} u^{5 - 3}v^{2 - 3}

= \dfrac{4}{3}u^2v^{-1}

= \dfrac{4u^2}{3v}
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The product of 2 numbers is -24 and their sum is -5. What are the two numbers and why are they the two numbers?
lana [24]

The numbers are (-8, 3) or (3, -8).

Step-by-step explanation:

  • Step 1: Given the product of the numbers are -24 and their sum are -5. Let the numbers be a and b. Form equations out of these details.

⇒ a + b = -5 ⇒ b = -5 - a

⇒ a × b = -24 -------- (1)

  • Step 2: Substitute the value of b in eq(1)

⇒ a × (-5 - a) = - 24

⇒ -5a - a² = -24

⇒ a² + 5a - 24 = 0

  • Step 3: Solve the quadratic equation for a.

a = (-5 ± √25 - 4 × 1 × -24)/2

  = (-5 ± √121)/2

  = - 16/2, 6/2 = -8 or 3

  • Step 4: For each value of a, find b.

When a = -8, b = -5 +8 = 3

When a = 3, b = -5 - 3 = -8.

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Please help: what is 2+4+4+10? I will five brainliest
telo118 [61]

Answer:

It is 20

Step-by-step explanation:

Use your fingers if necessary

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Write an expression for the difference between 10 and x
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The expression is 10-x=
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Step-by-step explanation:

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Cos theta / sec theta -1 - sin theta / 1+cos theta = 2 cot theta​
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Step-by-step explanation:

<h3><em>Explanation</em><em> </em><em>is </em><em>in</em><em> the</em><em> </em><em>attachment</em><em> </em></h3>

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