Expand and simplify the expression ${\left(\frac{7}{8}\right)}^{2}\backslash left(\; \backslash frac\{7\}\{8\}\; \backslash right)^2$. Express your answer as a fraction in its simplest form.

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

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

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:

$\frac{49}{\mathrm{64}}$

## 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.