Explanation

The numerator, \(6^1^4\), can be factored, and then the properties of exponents can be applied:

\(\frac{6^1^4}{2^5 \times 3^7}= \frac{2^1^4 \times 3^1^4}{2^5 \times 3^7} = 2^9 \times 3^7\).

Hence option D is correct.
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Hi Sandy,

Is this a general rule? So, when you're dealing with terms that have the same exponent and are being multiplied together, you can just multiply the factors like usual and keep the exponent the same and the result will stay constant?


So, 9^5 = (3^5)(3^5); 12^5 = (3^5)(4^5) etc. ?

Yes

See the GC math book


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