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pshichka [43]
3 years ago
15

Please help with the following problem asap!!

Mathematics
1 answer:
umka21 [38]3 years ago
4 0

Answer:

8^7

Step-by-step explanation:

\dfrac{8^{15}}{8^7 \cdot 8} =

Remember that 8 = 8^1.

= \dfrac{8^{15}}{8^7 \cdot 8^1}

When you multiply powers with the same base, add the exponents. Do this in the denominator.

= \dfrac{8^{15}}{8^{7+1}}

= \dfrac{8^{15}}{8^{8}}

When  you divide powers with the same base, subtract the exponents.

= 8^{15-8}

= 8^7

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Step-by-step explanation:

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3 years ago
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How do you represent an unknown quantity?
Dennis_Churaev [7]

Answer: With a variable. A variable is a letter you use in an equation , like this: 7+x=14, X is a classic one but you can use any letter u please! (In my school at least.)

5 0
3 years ago
A light bulb filament is one-hundredth of an inch thick, with an allowable error of 2 percent. What is the least allowable thick
Andreyy89

Answer:

0.00998 Inches

Step-by-step explanation:

Thickness of the light bulb filament = 0.01 Inch

Allowable error = 2%.

2% of 0.01 = 0.02 X 0.01 =0.0002 Inch

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3 0
3 years ago
(2x + y)2 – (3x – 2y)2 + (x – 4y)(x + 4y<br>11​
Vinvika [58]

Answer:

Step-by-step explanation:

(a+ b)² = a² +  b² + 2ab

(2x + y)² = (2x)² + y² + 2*2x *y

             = 4x²  + y² + 4xy

(a- b)² = a² + b² - 2ab

(3x - 2y)² = (3x)² + (2y)² - 2*3x *2y

              = 9x² + 4y² - 12xy

(a - b)(a +b) = a² - b²

(x - 4y(x + 4y) = x² - (4y)²

                     = x² - 16y²

(2x + y)² - (3x - 2y)² + (x - 4y)(x +4y)

  = 4x²  + y² + 4xy - (9x² + 4y² - 12xy) + x² - 16y²

  = 4x²  + y² + 4xy - 9x² - 4y² + 12xy + x² - 16y²

  = 4x² - 9x² + x²  + y² - 4y² - 16y²+ 4xy + 12xy

 =    -4x² - 19y² + 16xy

8 0
2 years ago
Find the missing side length.
LekaFEV [45]
I don’t know how those answers exist but the correct answer here is 10, 16-6 = 10 yds.
6 0
2 years ago
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