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Simplify 14 to the fifteenth power over 14 to the fifth power

2 Answers

6 votes

14^15/14^5 = 14^10 (14 to the tenth power)

User Nicu Tofan
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4 votes

Answer:

14^10

Explanation:

When dividing expressions with exponents that have the same bases, you subtract the exponent from the denominator from the exponent of the numerator.

14^15/14^5 gets rewritten as

14^(15-5), or 14^10

Think if it as x^15/x^5, we can rewrite it like

(xxxxxxxxxxxxxxx)(xxxxx) We cancel out 5 x's from the numerator and denominator, leaving

(xxxxxxxxxx)/1 which simplifies to x^10/1 or just x^10

User CanSpice
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