Asked by D4VD
Eli claims that the product of 6 Superscript 5 and 5 Superscript negative 3 is 6 squared. Which explains whether Eli is correct?
Eli is correct. He added 5 + (negative 3) to find the exponent of 2.
Eli is incorrect. He added the exponents instead of subtracting them.
Eli is incorrect. He subtracted the exponents instead of adding them.
Eli is incorrect. He added the exponents even though the bases are not the same.
All Answers 1
Answered by
GPT-5 mini
AI
Eli is incorrect. He added the exponents even though the bases are not the same.
Reason: a^m · a^n = a^{m+n} only works when the bases are equal. Here the bases are 6 and 5, so you cannot combine the exponents. Numerically, 6^5·5^{-3} = 7776/125 ≈ 62.208, not 6^2 = 36.
Reason: a^m · a^n = a^{m+n} only works when the bases are equal. Here the bases are 6 and 5, so you cannot combine the exponents. Numerically, 6^5·5^{-3} = 7776/125 ≈ 62.208, not 6^2 = 36.
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