Convert the following to exponential form and apply first law of exponents: 243×81
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234× 9² is the answer....
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Q: Convert the following to exponential form and apply first law of exponents: 243 × 81
By prime factorization,
243 = 3 × 3 × 3 × 3 × 3 = 3^5
81 = 3 × 3 × 3 × 3 = 3^4
Now,
243 × 81
= 3^5 × 3^4
= 3^(5+4)
= 3^9
Hence,
3^9 or 19683 is the required answer.
Q: Convert the following to exponential form and apply first law of exponents: 243 × 81
By prime factorization,
243 = 3 × 3 × 3 × 3 × 3 = 3^5
81 = 3 × 3 × 3 × 3 = 3^4
Now,
243 × 81
= 3^5 × 3^4
= 3^(5+4)
= 3^9
Hence,
3^9 or 19683 is the required answer.
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