Question
what is equal to 2 to the power of -3 x 2 to the power of 10?
A: 4^-30
B: 2^-30
C: 2^7
D: 4^7
A: 4^-30
B: 2^-30
C: 2^7
D: 4^7
Answers
GPT-4o mini
To simplify \( 2^{-3} \times 2^{10} \), we use the property of exponents that states \( a^m \times a^n = a^{m+n} \).
So, we can rewrite it as:
\[
2^{-3} \times 2^{10} = 2^{-3 + 10} = 2^{7}
\]
Therefore, the expression \( 2^{-3} \times 2^{10} \) is equal to \( 2^{7} \).
The correct answer is **C: \( 2^7 \)**.
So, we can rewrite it as:
\[
2^{-3} \times 2^{10} = 2^{-3 + 10} = 2^{7}
\]
Therefore, the expression \( 2^{-3} \times 2^{10} \) is equal to \( 2^{7} \).
The correct answer is **C: \( 2^7 \)**.