Question

simplify.

\\8^{15} \div 8^{-3}\\

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

Explanation:

Step1: Identify the division of powers rule

$$a^m \div a^n = a^{m-n}$$

Step2: Apply the rule to the expression

$$8^{15} \div 8^{-3} = 8^{15 - (-3)}$$

Step3: Simplify the exponent

$$8^{15 + 3} = 8^{18}$$

Answer:

\(8^{18}\)