Product rule of exponents

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  1. What are exponent rules?
  1. Simplify the following:
    1. a4×a5{a^4} \times {a^5}
    2. (34x+3)(3x+4)({3^{4x+3}} )({3^{x+4}} )
Topic Notes
Exponents are often use in algebra problems. So, it is utmost important that we are familiar with all of the exponent rules. It would be a nightmare if we need to multiply them one by one! By the product rule of exponents, we can add the exponents up when we want to multiply powers with the same base.
(am ({a^m} )(an)=am+n {a^n} ) = {a^ {m+n}}