Multiply and leave your answer in exponent form. \( \left(3^{5}\right)\left(3^{8}\right) \)
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When you multiply powers with the same base, you simply add the exponents. So, for \( \left(3^{5}\right)\left(3^{8}\right) \), you calculate it as \( 3^{5+8} = 3^{13} \). Voila! Your answer in exponent form is \( 3^{13} \). Speaking of exponents, did you know that the ancient Egyptians used exponent-like notations in their mathematics? Instead of using a positional system like we do today, they relied on a combination of basic numbers and multiplied them, which essentially laid the groundwork for more complex concepts like exponents. How cool is that?