The sequence:
a 1 = 27 ft, a 2 = 18 ft, a 3 = 12 ft.
a 2 = a 1 * q
q = a 2 / a 1 = 18 / 27 = 2 / 3
a 4 = a 3 * q = 12 * 2 / 3 = 8 ft
<span>Factor out 2
x^2 +4x -6 = 0
Take half middle coefficient and square it:
x^2 +4x +4 -6 = 4
(x+2)^2
= 10
x+2
= sqrt(10)
x
= +-sqrt(10) -2</span>
The result of simplifying the expression (x²/x⁻¹¹)¹/₃ using the exponent rules is
(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
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Answer:w = -5/4
Step-by-step explanation:
The first part of the answer can be found by finding the GCF between 15 and 25. 15 is divisible by 1, 3, 5, and 15. 25 is divisible by 1, 5, and 25. You can see that their GCF is 5. Next, you need to look at the variables. The first monomial has a, b, and

. The second monomial has

, b, and c. They each have at least one a, one b, and one c, so those will be in the GCF (abc). If you put that together with the 5, you get that the GCF is
5abc.