How do zero and negative exponents relate to the problems in the community? Essay please ASAP .. I will report unnecessary answer
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How do zero and negative exponents relate to the problems in the community? Essay please ASAP .. I will report unnecessary answer
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Answer:
Negative exponents and zero exponents often show up when applying formulas or simplifying expressions.
In this section, we will define the Negative Exponent Rule and the Zero Exponent Rule and look at a couple of examples.
Negative Exponent Rule: b^{-2} = \frac{1}{b^n}
In other words, when there is a negative exponent, we need to create a fraction and put the exponential expression in the denominator and make the exponent positive. For example,
3^{-2} = \frac{1}{3^2} = \frac{1}{9}
But working with negative exponents is just rule of exponents that we need to be able to use when working with exponential expressions.
Example:
Simplify: 3-2
Solution:
3-2 = 3{-2} = \frac{1}{3^2} = \frac{1}{9}
Example:
Simplify: \frac{6^{-2}}{7^{-5}}
Solution:
Apply the Negative Exponent Rule to both the numerator and the denominator.
\frac{6^{-2}}{7^{-5}} = 6^{-2} \cdot \frac{1}{7^{-5}} = \frac{1}{6^2} \cdot 7^5 = \frac{7^5}{6^2} = \frac{16,807}{36}