Simplify 2^6 × 2^-3: Multiplying Powers with Different Signs

To solve the problem of simplifying $2^6 \times 2^{-3}$, we follow these steps:

• Identify the problem involves multiplying powers with the same base, $2$.

• Use the formula $a^m \times a^n = a^{m+n}$ to combine the exponents.

• Add the exponents: $6 + (-3)$.

Applying the exponent rule, we calculate:

Step 1: Given expression is $2^6 \times 2^{-3}$.

Step 2: According to the property of exponents, add the exponents: $6 + (-3)$.

Step 3: Simplify the exponent: $6 - 3 = 3$.

Thus, $2^{6-3}$.