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MATH / A number x factors as 107⋅109⁵, and 107 and 109 are primes. What is the exponent of 109 in the prime factorization of x¹¹?

Problem

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problem

A number xx factors as 107⋅1095107\cdot109^5, and 107107 and 109109 are primes. What is the exponent of 109109 in the prime factorization of x11x^{11}?
Plain-text mathematical notation (without MathML)
A number x factors as 107⋅109⁵, and 107 and 109 are primes. What is the exponent of 109 in the prime factorization of x¹¹?
Original LaTeX notation
A number $x$ factors as $107\cdot109^5$, and $107$ and $109$ are primes. What is the exponent of $109$ in the prime factorization of $x^{11}$?

level

Level 4

type

Prealgebra

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Source and history

task_id
d8ecf658-916c-5446-8b7a-e6454df9d5db
task_key
prealgebra--test--d8ecf658-916c-5446-8b7a-e6454df9d5db
task_revision_id
1
config / split
prealgebra / test

Official source

initial import