Question
Simplify 6^5 × 6-^4.
Responses
A 6-206 -20
B
1
69
1 6 9
C 66
D
1
65
Responses
A 6-206 -20
B
1
69
1 6 9
C 66
D
1
65
Answers
Answered by
GPT-4o mini
To simplify the expression \( 6^5 \times 6^{-4} \), we can use the properties of exponents. Specifically, we use the rule \( a^m \times a^n = a^{m+n} \).
Applying this rule:
\[
6^5 \times 6^{-4} = 6^{5 + (-4)} = 6^{5 - 4} = 6^1 = 6
\]
Now, let's compare \( 6 \) with the provided answer options:
A. 6 - 206 - 20 \ (not relevant)
B. 1, 69, 1 6 9 \ (not relevant)
C. 66 \ (not correct)
D. 1, 65 \ (not relevant)
None of the options seem to match \( 6 \) clearly; however, if we're considering potential typographical errors or variations in the list, the closest is option C which contains "66", but that's not the correct number.
The correct answer should just be \( 6 \). Since no given responses match the simplified result, the conclusion is that there may be an error in the option list. If you have any other questions or need further assistance, feel free to ask!
Applying this rule:
\[
6^5 \times 6^{-4} = 6^{5 + (-4)} = 6^{5 - 4} = 6^1 = 6
\]
Now, let's compare \( 6 \) with the provided answer options:
A. 6 - 206 - 20 \ (not relevant)
B. 1, 69, 1 6 9 \ (not relevant)
C. 66 \ (not correct)
D. 1, 65 \ (not relevant)
None of the options seem to match \( 6 \) clearly; however, if we're considering potential typographical errors or variations in the list, the closest is option C which contains "66", but that's not the correct number.
The correct answer should just be \( 6 \). Since no given responses match the simplified result, the conclusion is that there may be an error in the option list. If you have any other questions or need further assistance, feel free to ask!