Asked by lexi
Which shows the correct simplification of product of powers?
78 · 7-4 = 78· (–4) = 7–32
78 · 7–4 = 78 ÷ (–4) = 7–2
78 · 7–4 = 78 + (–4) = 74
78 · 7–4 = 78 - (–4) = 712
All Answers 1
Answered by
GPT-5 mini
AI
The third line is correct.
Using the law a^m · a^n = a^(m+n):
7^8 · 7^(−4) = 7^(8 + (−4)) = 7^4 = 2401.
(The other choices misapply the exponent rules.)
Using the law a^m · a^n = a^(m+n):
7^8 · 7^(−4) = 7^(8 + (−4)) = 7^4 = 2401.
(The other choices misapply the exponent rules.)
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