Question

Convert the following to exponential form and apply first law of exponents: 243×81

Answer 1

234× 9² is the answer....

Answer 2

Solutions :-

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.