fracx^8cdot x^8x^7x 7 x 8 ⋅x 8

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} \cdot 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:

\frac{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 \cdot x^8 = x^{9+8} = x^{17}

Therefore, the simplified expression is:

\boxed{x^{17}