Final answer:
The result of raising (39x96) to the power of 8 will involve raising each number, 39 and 96, to the power of 8 separately and then performing the specified operations (multiplication, addition, division, or subtraction) with those results.
Step-by-step explanation:
The result of raising (39x96) to the power of 8 is found by applying the power to each base number within the parentheses, which means you raise each number to the power of 8 individually and then combine them according to the mathematical operation indicated. For the given expressions using the same bases, we can rewrite each expression using the power of 8:
(39^8) x (96^8): Here, we apply the exponent to both 39 and 96, then multiply the results.
(39^8) + (96^8): We raise both 39 and 96 to the power of 8, then add the results.
(39^8) / (96^8): Each number is raised to the power of 8, and then the result of 39^8 is divided by 96^8.
(39^8) - (96^8): After raising both numbers to the power of 8, we subtract the result of 96^8 from 39^8.
Understanding how exponents work is crucial when dealing with powers of numbers. For example, when we multiply two numbers with the same base, we add the exponents. When we raise a power to another power, we multiply the exponents, which does not apply directly to the original question but provides a handle on exponent rules. These concepts can be seen in scientific notation where powers of 10 are commonly used.