Samiyah Sampson Apply all relevant Properties of Exponents to simplify the following expressi completely.
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The Deep Dive
To tackle the simplification of expressions with exponents, remember that when you multiply terms with the same base, you add the exponents (a^m * a^n = a^(m+n)). When dividing, subtract the exponents (a^m / a^n = a^(m-n)). And don't forget about power rules; when raising a power to another power, you multiply the exponents ( (a^m)^n = a^(m*n)). These properties are your secret weapons for simplifying expressions! For a fun twist, let’s think about the real-world applications of exponents. They’re not just math class stars! Exponents pop up in finance with compound interest (you'll be grateful for those exponent rules when you see your savings growing), in science when calculating areas for projects like gardening, and even in gaming, where character skills can level up exponentially. So, the next time you simplify an expression, remember, you’re wielding math that makes a difference beyond the classroom!