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leva [86]
1 year ago
15

Write each expression in simplest form. (x²/x⁻¹¹)¹/₃

Mathematics
1 answer:
aleksklad [387]1 year ago
8 0

The result of simplifying the expression (x²/x⁻¹¹)¹/₃ using the exponent rules is \sqrt[3]{}(x¹³)

To solve this exercise we have to resolve algebraic operations following the exponent rules.

(x²/x⁻¹¹)¹/₃

Using the quotient rule that indicates that: the exponent result will be the subtraction of these exponents, we have:

(x⁽²⁻⁽⁻¹¹⁾)¹/₃

(x⁽²⁺¹¹⁾)¹/₃

(x¹³)¹/₃

Using the power of a power rule that indicates that: the exponent result will be the multiplication of these powers, we have:

x⁽¹³*¹/₃⁾

x⁽¹³/₃⁾

As we have a fractional exponent, you must convert the exponent to root:

\sqrt[3]{}(x¹³)

<h3>What is an exponent?</h3>

In mathematics an exponent is the number of time that a number, called (base) is multiplied by itself. It is also called, power or index.

Example: 3² = 3*3 = 9

Learn more about exponent at: brainly.com/question/847241

#SPJ4

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Which is the more reasonable measurement of the distance between the tracks on a railroad:
nataly862011 [7]

If you're comparing 1.435 * 10^(-3) mm to 1.435 * 10^3 mm, then the more reasonable measurement is 1.435 * 10^3 mm since,

1.435 * 10^3 mm = 1435 mm = 1.435 meters

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So 1.435 meters is slightly larger (about 4.708 feet) which is a fairly reasonable distance between the tracks on a railroad.

-------------------

Something like 1.435 * 10^(-3) mm is equal to 0.001435 mm, which is far less than 1 mm.

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2 years ago
Maria's kitchen sink holds up to 103.468 liters of water. round this amount to the nearest liters
tatiyna
104 litres of water.
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3 years ago
Read 2 more answers
Find the area of the regular decagon if the apothem is 2.8ft and a side is 1.8ft
geniusboy [140]
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since each side is 1.8 long, all 10 sides will be 10*1.8 or 18 units long, so that'd be the perimeter then,

\bf \textit{area of a regular polygon}\\\\&#10;A=\cfrac{1}{2}ap~~&#10;\begin{cases}&#10;a=apothem\\&#10;p=perimeter\\&#10;------\\&#10;a=2.8\\&#10;p=18&#10;\end{cases}\implies A=\cfrac{1}{2}(2.8)(18)
6 0
3 years ago
PLEASE HELP ITS MY TRIMESTER TEST MY MOM WILL KILL ME IF I FAIL! &lt;3 WILL MARK BRAINLIST!
Artyom0805 [142]

Answer:

r =2.9985yd

Step-by-step explanation:

Given that the circumference of a circle is 2\pir

where r is the radius and \pi = 3.1415926....

You have

2\pir = 18.84 yd

2(3.1415926)r = 18.84 yd

6.2831r = 18.84yd

divide through by 6.2831

r = 2.9985yd = aprox 3yds

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2 years ago
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