Math Problem Statement
How many zeroes are at the end of 45^9 • 88^5? Explain how you can answe this question without actually computing the number.
Solution
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Math Problem Analysis
Mathematical Concepts
Prime Factorization
Exponents
Trailing Zeros
Formulas
Prime factorization: a = p1^k1 * p2^k2 * ... * pn^kn
Counting trailing zeros: number of zeros = min(count of 2's, count of 5's)
Theorems
Fundamental Theorem of Arithmetic
Suitable Grade Level
Grades 10-12
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