Question

What is the result of 11⁷ × 11³ (negative ³) ÷ 11² (negative 2)?

A) 11^10
B) 1
C) 11^8
D) 11^12

Answer 1

To find the result of 11⁷ × 11³ (negative ³) ÷ 11² (negative 2), apply the rules of exponents and simplify step by step. The answer is 11⁸.

Step-by-step explanation:

To find the result of 11⁷ × 11³ (negative ³) ÷ 11² (negative 2), we need to apply the rules of exponents and perform the calculations step by step.

1. Start by simplifying 11⁷ × 11³. This can be done by adding the exponents together to get 11¹⁰.
2. Next, divide the result from step 1 by 11². Again, subtract the exponents to get 11⁸.
3. Finally, apply the negative exponent by taking the reciprocal of the result from step 2. So the final answer is 1 / 11⁸.

Therefore, the result of 11⁷ × 11³ (negative ³) ÷ 11² (negative 2) is option C) 11⁸.