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
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Answer:
x>10
Step-by-step explanation:
4(2x + 2) + 12 > 100
Subtract 12 from each side
4(2x + 2) + 12 -12> 100-12
4(2x + 2) > 88
Divide by 4
4/4(2x + 2) > 88/4
2x+2 > 22
Subtract 2
2x+2-2 > 22-2
2x> 20
Divide by 2
2x/2 >20/2
x>10
Remember that scientific notation always contains a number between 0 and 10 that is multiplied by ten to some power. In this case, to get a number between 0 and 10 (7.2) we would move the decimal point once to the right. Since it is moving to ththe right, the exponent over the 10 will be negative, and it will be -1 because we moved the point once. So the answer is 7.2*10^-1
Hope this helps
If a company makes two discounts with one being made first and then another, the equivalent discount is 37%.
<h3>What was the equivalent discount?</h3>
Assume that the price of a good in the company was $10.
The initial discount of 30% takes the price to:
= 10 x ( 1 - 30%)
= $7
Then there is a 10% discount:
= 7 x (1 - 10%)
= $6.30
The equivalent discount is:
= (10 - 6.3) / 10
= 37%
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