When you square a fraction, you multiply the fraction by itself. So:

${\left(\frac{7}{8}\right)}^2=\frac{7}{8}\times \frac{7}{\mathrm{8<span></span>}}$

Step 1: Multiply the numerators (top numbers):

$7\times 7=49$

Step 2: Multiply the denominators (bottom numbers):

$8\times 8=64$

So, the expanded form is:

$\frac{49}{\mathrm{64<span></span>}}$

Final Answer:

The simplified fraction is $\frac{49}{64}\backslash frac\{49\}\{64\}$​.

Explanation:

Squaring a fraction involves multiplying both the numerator and the denominator by themselves.

In this case, $\frac{7}{8}\times \frac{7}{8}\backslash frac\{7\}\{8\}\; \backslash times\; \backslash frac\{7\}\{8\}$​ results in $\frac{49}{64}\backslash frac\{49\}\{64\}$​, which is already in its simplest form.