Evaluate $$ \left(\frac{3.5^{7}}{3.5^{6}}\right)^{2} $$

Question

UpStudy AI · Accepted Answer

To evaluate the expression:

$$
\left(\frac{3.5^{7}}{3.5^{6}}\right)^{2}
$$

**Step 1: Simplify the Fraction**

When you divide expressions with the same base, you subtract the exponents:

$$
\frac{3.5^{7}}{3.5^{6}} = 3.5^{7-6} = 3.5^{1} = 3.5
$$

**Step 2: Square the Result**

Now, square the simplified result:

$$
(3.5)^{2} = 3.5 \times 3.5 = 12.25
$$

**Final Answer:**

$$
12.25
$$
The result is 12.25.

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