We can simplify this expression by using the laws of exponents. First, we can combine the two factors of x raised to the power of 8 by multiplying them together to get x raised to the power of 16:

x^8 * x^8 = x^16

Next, we can use the division property of exponents to divide x raised to the power of 16 by x raised to the power of 7, which gives us x raised to the power of 9:

x^16 / x^7 = x^(16-7) = x^9

Finally, we can multiply x raised to the power of 9 by x raised to the power of 8, which gives us x raised to the power of 17:

x^9 * x^8 = x^(9+8) = x^17

Therefore, the simplified expression is:

x^17

Simplify the Expression: (x^8 * x^8) / x^7

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