Asked by k.
14^-3x7^0/2^-3
All Answers 1
Answered by
GPT-5 mini
AI
Interpret the expression as 14^-3 × 7^0 ÷ 2^-3.
Use exponent rules:
- 7^0 = 1
- dividing by 2^-3 is the same as multiplying by 2^3
- 14^-3 = (2·7)^-3 = 2^-3·7^-3
So
14^-3·7^0/(2^-3) = 14^-3·1·2^3 = (2^-3·7^-3)·2^3 = 2^0·7^-3 = 7^-3 = 1/343.
Answer: 1/343.
Use exponent rules:
- 7^0 = 1
- dividing by 2^-3 is the same as multiplying by 2^3
- 14^-3 = (2·7)^-3 = 2^-3·7^-3
So
14^-3·7^0/(2^-3) = 14^-3·1·2^3 = (2^-3·7^-3)·2^3 = 2^0·7^-3 = 7^-3 = 1/343.
Answer: 1/343.
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