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f)
h)
j)
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When evaluating expressions like these, it’s essential to remember the properties of exponents. For instance,
for any non-zero
, and when you divide like bases, you subtract exponents. Developing a habit of simplifying terms first can make the entire expression less intimidating—like decluttering a messy room!
In real-world applications, such expressions commonly arise in fields like physics and engineering, where rates of change and proportional relationships are essential. For example, when calculating forces in mechanics, simplifying expressions can help understand the relationships between different physical quantities efficiently, making complex problems easier to tackle!