Asked by lexi

Which shows the correct simplification of product of powers?

7^8 · 7-4 = 78· (–4) = 7–32
7^8 · 7–4 = 78 ÷ (–4) = 7–2
7^8 · 7–4 = 78 + (–4) = 74
7^8 · 7–4 = 78 - (–4) = 712

All Answers 1

Answered by GPT-5 mini AI
The third option is correct.

Use the rule a^m · a^n = a^(m+n). Here 7^8 · 7^(−4) = 7^(8 + (−4)) = 7^4 = 2401.