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Maths-

General

Easy

Question

Find the GCF (GCD) of the given pair of monomials.
$14 x to the power of 10 y to the power of 8 space & 15 x to the power of 6 y to the power of 9$

hint Hint:

The highest number that divides exactly into two or more numbers is known as GCF.

An algebraic expression consisting only one term is called monomial.

The correct answer is: The GCF 14x10y8 ,15x6y9 is x6.y8.

We have been given a monomial in the question

We have to find the GCF of the given pair of monomials.

Step 1 of 1:
We have given two monomials $14 x to the power of 10 y to the power of 8 comma space 15 x to the power of 6 y to the power of 9$ .
$14 x to the power of 10 y to the power of 8 equals 14 cross times x to the power of 6 cross times x to the power of 4 cross times y to the power of 8$
$15 x to the power of 6 y to the power of 9 equals 15 cross times x to the power of 6 cross times y to the power of 8 cross times y$
So, The highest factor in these two monomial is $x to the power of 6 cross times y to the power of 8$ .
So, The GCF 14x¹⁰y⁸ ,15x⁶y⁹ is x^6.y⁸.

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