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LuckyWell [14K]
2 years ago
8

Heyy!!

Mathematics
1 answer:
rosijanka [135]2 years ago
8 0

<u>Answer:</u>

6^{10}

<u>Step-by-step explanation:</u>

We can use the following rule of surds to solve the problem:

\boxed{a^m \times a^n = a^{m + n}},

which means that when multiplying two numbers with the same bases, we can simply add their powers while keeping the base the same.

Applying this rule:

6^2 \times 6^8

⇒ 6^{2 + 8}

⇒ \bf 6^{10}

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Then, you "build" the GCF by only considering the primes appearing in both factorization, with the smaller exponent possible.

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