Final answer:
The sum 99=33+66 can be rewritten as 33×3 using the GCF of 33. Exponential terms with the same base are multiplied by adding their exponents, while multiplication sign rules depend on the positivity or negativity of the numbers being multiplied.
Step-by-step explanation:
The sum 99=33+66 can be rewritten using the Greatest Common Factor (GCF) and multiplication. The GCF of 33 and 66 is 33, therefore we can express 66 as 33×2. Thus, the original expression 33+66 can be rewritten as 33+33×2, which simplifies to 33(1+2). The final expression using the GCF and multiplication is 33×3, which equals 99, confirming the original sum.
When working with multiplication of exponentials, the general rule is to multiply the digit terms as usual and add the exponents when the bases are the same. For example, when multiplying exponential terms like 34 and 32, the result is 3(4+2) = 36.
Additionally, the rules for multiplication signs state that: when two positive numbers multiply, the result is positive, and similarly, when two negative numbers multiply, the result is also positive. If one number is positive and the other is negative, the result of the multiplication is negative. The same sign rules apply for division.