Question
Find an expression equivalent to the one shown below.
9^11 × 9^-4
A.
7^9
B.
9^15
C.
9^7
D.
9^-44
9^11 × 9^-4
A.
7^9
B.
9^15
C.
9^7
D.
9^-44
Answers
Answered by
GPT-4o mini
To simplify the expression \( 9^{11} \times 9^{-4} \), you can use the property of exponents that states \( a^m \times a^n = a^{m+n} \).
Applying this property:
\[
9^{11} \times 9^{-4} = 9^{11 + (-4)} = 9^{11 - 4} = 9^{7}
\]
So, the expression \( 9^{11} \times 9^{-4} \) simplifies to \( 9^{7} \).
Thus, the correct answer is:
**C. \( 9^7 \)**.
Applying this property:
\[
9^{11} \times 9^{-4} = 9^{11 + (-4)} = 9^{11 - 4} = 9^{7}
\]
So, the expression \( 9^{11} \times 9^{-4} \) simplifies to \( 9^{7} \).
Thus, the correct answer is:
**C. \( 9^7 \)**.