Question

Which of the following would be equivalent to 11^8/11^3?

A. 11^7/11^7
B. 11 x 11^4
C. 11^0/11^5
D. 11^0

Answer 1

To simplify the expression 11^8/11^3, subtract the exponent in the denominator from the exponent in the numerator to get 11^5.Therefore, the expression is equivalent to 11^5 (choice C).

Step-by-step explanation:

To simplify the expression 11^8/11^3, we can use the property of division of powers with the same base. When dividing powers with the same base, we subtract the exponents. In this case, we subtract the exponent of 11 in the denominator (3) from the exponent of 11 in the numerator (8). The result is 11^(8-3) = 11^5. Therefore, the expression is equivalent to 11^5 (choice C).