Question

simplify the following expression.

\\9^{-53} \cdot 9^{37}\\

enter your answer as a number to a power, using the ^ symbol to indicate an exponent. for example, to enter \\(42^{53}\\), type it like this: 42^53

Explanation:

Step1: Identify the product rule for exponents

$$a^m \cdot a^n = a^{m+n}$$

Step2: Add the exponents together

$$-53 + 37 = -16$$

Step3: Write the simplified expression

$$9^{-16}$$

Answer:

\(9^{-16}\) (or 9^-16)