The result of simplifying the expression (x²/x⁻¹¹)¹/₃ using the exponent rules is ![\sqrt[3]{}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B%7D)
(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:
(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
1+2=3
This isn’t hard if u add them together
Answer:
1 7/12 cups
Step-by-step explanation:
3/4 + 5/6
LCM of 4 and 6 is 12 so we have
9/12 + 10/12
=19 / 12
= 1 7/12 cups of milk
Total cost of lessons : 305.50
Deduct the first two lessons which costs 12.75 each from the total cost.
12.75 * 2 = 25.50 is the total cost of the first two lessons.
305.50 - 25.50 = 280 total cost from the 3rd lesson upwards.
Since, it was stated that after the first two lessons, all other lessons cost 20 each lesson. We divide the remaining 280 by 20 to get the number of lessons taken.
280 / 20 = 14 lessons.
To get the total number of lessons Leah has; we add the first two lessons to the quotient, which is 14 lessons.
2 lessons + 14 lessons = 16 lessons in total.
To check: Multiply the corresponding lessons to its cost and check if the total cost arrived is equal to the total cost stated in the problem.
2 lessons * 12.75 = 25.50
14 lessons * 20.00 = 280.00
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16 lessons 305.50
