Final answer:
To simplify the expression [(4)⁵×(4)²]÷(2⁶×2⁴), first calculate each term separately and then divide the numerator by the denominator. The result is 16 in exponent form.
Step-by-step explanation:
To simplify the given expression [(4)⁵×(4)²]÷(2⁶×2⁴), we can first simplify each term within the brackets. 4 raised to the power of 5 and 4 raised to the power of 2 can be calculated separately, resulting in 1024 and 16, respectively. Next, we simplify the terms in the denominator: 2 raised to the power of 6 is 64, and 2 raised to the power of 4 is 16. Finally, we divide the numerator by the denominator, which gives us 1024 divided by 64, resulting in 16. Therefore, the answer in exponent form is 16.
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