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Answer :
The GCF of 60x⁹ and 54x⁵ is 6x⁵.
To find the GCF of 60x⁹ and 54x⁵, follow these steps:
Identify the GCF of the coefficients 60 and 54.
Break down each coefficient into its prime factors:
60 = 2² × 3 × 5
54 = 2 × 3³
The common prime factors are 2 and 3. The lowest powers of these common factors are 2¹ and 3¹.
So, the GCF of 60 and 54 is 2 × 3 = 6.
Identify the GCF of the variables x⁹ and x⁵:
Since the base is the same (x), take the lower exponent: x⁵.
Combining both results, the GCF of 60x⁹ and 54x⁵ is 6x⁵.
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Answer:
6x⁵
Step-by-step explanation:
To get the GCF of 60x⁹ and 54x⁵, get the product of common divisors of the two terms.
Please find the attached.
