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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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True or false <br><br> A chance event with probability 1 is certain to happen
Gnesinka [82]

Answer:

True, since 1 is 1/1, which is 100%

<em>Hope that helps! :)</em>

Step-by-step explanation:

7 0
2 years ago
A plastic box has a length 4 cm longer than its width. The area of the rectangular top of the box is 77 square cm. Find the leng
finlep [7]

Answer: the length is 11 cm.

The width is 7 cm.

Step-by-step explanation:

Let L represent the length of the rectangular plastic box.

Let W represent the width of the rectangular plastic box.

The area of the rectangular top of the box is 77 square cm. This means that

LW = 77- - - - - - - ;- - - -1

The plastic box has a length 4 cm longer than its width. This means that

L = W + 4

Substituting L = W + 4 into equation 1, it becomes

(W + 4)W = 77

W² + 4W = 77

W² + 4W - 77 = 0

W² + 11W - 7W - 77 = 0

W(W + 11) - 7(W + 11) = 0

W - 7 = 0 or W + 11 = 0

W = 7 or W = - 11

Since the width cannot be negative, then W = 7cm

L = 77/7 = 11 cm

4 0
3 years ago
Which fraction represents the decimal 0.12<br> a) 1/12<br> b) 3/25<br> c) 4/33 <br> d ) 33/4
almond37 [142]

Answer:

The fraction that represents the decimal  0.12  is  3/25

Step-by-step explanation:

step 1: find the  place value  of the last digit in 0.12

Since they are 2 digits in 0.12 the   place  value  of last  digit is  the  100 th, therefore  0.12 is the same as  12/100

step 2: simplify 12/100  by dividing both the denominator and numerator  by 4

that is   <u>1</u><em><u>2 divide by 4   = 3  and 100 divide by 4  =25</u></em>

therefore  the fraction = 3/25


5 0
3 years ago
Read 2 more answers
Your favorite ice cream shop has 21 flavors. You want to see which flavors are most popular. Which type of chart would be best f
Oksana_A [137]

Answer:

This in fact would be a bar graph

Using a bar graph you can see the amount of people who like a specific type of ice cream

Hope this helps :)

Have a great day love :)

8 0
2 years ago
Can someone please help convert these so they have the same denominator??
ratelena [41]

The LCM of the denominators is 120. In other words, the denominators can multiply to 120.

3 * 40 = 120

40 * 2 = 80

Tigers: P = 80/120

24 * 5 = 120

24 * 4 = 96

Redbirds: P = 96/120

8 * 15 = 120

3 * 15 = 45

Bulldogs P = 45/120

60 * 2 = 120

60 * 1 = 60

Titans P = 60/120

Answer

Tigers: P = 80/120

Redbirds: P = 96/120

Bulldogs: P = 45/120

Titans: P = 60/120

5 0
2 years ago
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