Algebra - How to Simplify Complex Fractions Using Exponent Rules #maths

Welcome to MatheNatic! In this video, we simplify a complex fraction step by step using prime factorization and exponent rules to make the process easy to follow. The given fraction contains different bases and exponents, but by breaking each number down into its **prime factors**, we can simplify the expression efficiently. First, we rewrite all numbers as products of their prime bases, which means expressing numbers like eight, sixteen, and nine using their smallest factors. This allows us to work with a consistent set of bases, mainly twos and threes. Once everything is in prime form, we use exponent laws to remove brackets and simplify the exponents. This involves multiplying and distributing exponents correctly, ensuring no mistakes when combining terms. Next, we apply exponent rules for multiplication and division. When multiplying terms with the same base, we add the exponents, and when dividing, we subtract the exponents. By carefully following these rules, we simplify both the numerator and denominator step by step. After simplifying all the terms, we are left with a much simpler expression. Finally, we make sure the answer is in its simplest form. Since algebra prefers positive exponents, we adjust any negative exponents by moving terms between the numerator and denominator. This gives us the final result: a clean and simplified fraction. This method is a powerful way to simplify complicated algebraic fractions using basic exponent rules and factorization techniques. Download Math Study Notes at https://payhip.com/MatheNatic Get started with FREE notes on Statistics and Financial Math! Subscribe to MatheNatic for more High School Mathematics Tutorials: https://www.youtube.com/channel/UCBDkt17RbuVyx9U2-UPffXA #MatheNatic