The result of simplifying each number 1000⁴/₃ / 100³/₂ using the exponent rules is: 10
To solve this exercise we have to resolve algebraic operations following the exponent rules.
(1000⁴/₃) / (100³/₂)
Base: 1000 = 10³
Base: 100 = 10²
As 1000 is the same as 10³ and 100 is the same as 10², we get:
(10³)⁴/₃ / (10²)³/₂
Using the power of a power rule that indicates that: the exponent result will be the multiplication of these exponents, we have:
10³*⁴/₃ / 10²*³/₂
10¹²/₃ / 10⁶/₂
10⁴ / 10³
Using the quotient rule that indicates that: the exponent result will be the subtraction of these exponents, we have:
10⁽⁴⁻³⁾
10
What is an exponent?
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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