For how many integer values of n will the value of the expression 4n + 7 be an integer greater than 1 and less than 200?
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The result of simplifying each number 64²/₃ 64²/₃ using the exponent rules is 256
To solve this exercise we have to resolve algebraic operations following the exponent rules.
64²/₃ * 64²/₃
- Base= 64
- Exponent = 2/3
The base number 64 is the same that: 4³, then we get:
(4)³ ⁽²/₃⁾ * (4)³ ⁽²/₃⁾
Using the power of a power rule that indicates that: the exponent result will be the multiplication of these exponents, we have:
4⁽³*²/³⁾ * 4⁽³*²/³⁾
4⁽⁶/³⁾ * 4⁽⁶/³⁾
(4)² * (4)²
Using the product rule that indicates that: the exponent result will be the addition of these exponents, we have:
4⁽²⁺²⁾
4⁴
4*4*4*4
256
<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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