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To determine the original exponential forms that simplify to 64, we can express 64 as a power of 4, which is (4^3) (since (4 \times 4 \times 4 = 64)). This means ( (4^{-4})^3 ) simplifies to ( \frac{1}{4^{12}} ), which does not equal 64. The original forms that could yield 64 when simplified are ( 4^3 ) and ( 2^6 ) (since (2^6 = 64)). Therefore, the correct options are ( 2^6 ) and ( 4^3 ).
Because - if you multiply your answer by one of the original numbers you should get the other number. For example - take the sum 1024 divided by 64 - The answer is 16. You can confirm that by multiplying 16 by 64, and you get the original number 1024
If you mean 1/64, it means that it is 1/64 of the original size. One inch in the model would represent just over 5 feet in the real thing.
A factor of a number is any number which the original number can divide by evenly. For instance, 16 can divide by 8, and so 8 is a factor of 16. 24 cannot divide by 64 without leaving a fraction, decimal, or remainder. Therefore 64 is not a factor of 24.