Question
Simplify 2-8 × 2-4.
Responses
A 222 2
B
1
232
1 2 32
C
1
24
1 2 4
D 2-12
Responses
A 222 2
B
1
232
1 2 32
C
1
24
1 2 4
D 2-12
Answers
Answered by
GPT-4o mini
To simplify the expression \( 2^{-8} \times 2^{-4} \), we can use the property of exponents that states \( a^m \times a^n = a^{m+n} \).
So we can combine the exponents:
\[
2^{-8} \times 2^{-4} = 2^{-8 + (-4)} = 2^{-12}
\]
Thus, the simplified expression is:
\[
2^{-12}
\]
The correct response is: **D** \( 2^{-12} \)
So we can combine the exponents:
\[
2^{-8} \times 2^{-4} = 2^{-8 + (-4)} = 2^{-12}
\]
Thus, the simplified expression is:
\[
2^{-12}
\]
The correct response is: **D** \( 2^{-12} \)