Answer:
Other whole numbers that can be raised to a power to get 4,096 are 4, 8, 16 and 64
Step-by-step explanation:
Given;
2¹² = 4096
Other whole numbers that can be raised to a power to get 4,096 are obtained as follows;
[tex]if \ (a^x)^y = a^{xy}\\\\ (2^2)^6 = 4,096\\\\(4)^6 = 4,096\\\\Thus, \ the \ first \ whole \ number \ is \ 4\\\\(2^3)^4 = 4,096\\\\(8)^4 = 4,096\\\\Thus, \ the \ second \ whole \ number \ is \ 8\\\\(2^4)^3 = 4,096\\\\(16)^3 = 4,096\\\\Thus, \ the \ third \ whole \ number \ is \ 16\\\\(2^6)^2 = 4,096\\\\(64)^2 = 4,096\\\\Thus, \ the \ fourth \ whole \ number \ is \ 64[/tex]
Therefore, Other whole numbers that can be raised to a power to get 4,096 are 4, 8, 16 and 64
