BillyWong422
Answered

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The H.C.F. of [tex]3^{5}[/tex] x [tex]5^{2}[/tex] x [tex]7^{2}[/tex] and [tex]5^{3}[/tex] x 7 is?

A. [tex]5^{2}[/tex] x 7.

B. [tex]5^{3}[/tex] x [tex]7^{2}[/tex].

C. [tex]3^{5}[/tex] x [tex]5^{2}[/tex] x 7.

D. [tex]3^{5}[/tex] x [tex]5^{3}[/tex] x [tex]7^{2}[/tex].

Sagot :

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Answer:

A) 5² · 7

Explanation:

[tex]\sf 3^5\cdot 5^2\cdot 7^2[/tex] = 3 · 3 · 3 · 3 · 3 · 5 · 5 · 7 · 7

and

[tex]\sf 5^3 \cdot 7[/tex] = 5 · 5 · 5 · 7

Find common factors:

5 · 5 · 7

5² · 7

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