Does the base change when you multiply and divide numbers that have the same base? Do the exponents change when you multiply and divide numbers with the same base? How?

1 answer

When you multiply numbers with the same base, the base remains the same while the exponents are added together. For example, if you multiply 2^3 and 2^4, the result would be 2^(3+4) which is equal to 2^7.

Similarly, when you divide numbers with the same base, the base remains the same while the exponents are subtracted. For example, if you divide 2^5 by 2^3, the result would be 2^(5-3) which is equal to 2^2.

In summary, the base remains the same when you multiply and divide numbers with the same base, while the exponents are added and subtracted respectively.
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