6 negative 3 as the exponent times 6 negative 2 as the exponent
To simplify 6 raised to the power of -3 multiplied by 6 raised to the power of -2, you can follow the rule of exponents for multiplication with the same base:
Rule: When multiplying two numbers with the same base, you add their exponents.
So, for this problem, you have 6 raised to the power of -3 multiplied by 6 raised to the power of -2:
(6^-3) * (6^-2)
Using the rule of exponents, you add the exponents together:
6^(-3 + -2)
Simplifying the exponents:
6^(-5)
Therefore, the simplified form of 6 raised to the power of -3 multiplied by 6 raised to the power of -2 is 6 raised to the power of -5, which can also be expressed as 1/6 raised to the power of 5:
1/(6^5) or 1/7776.
Thus, the answer is 1/7776.