The parts of this problem concern exponentiation. You know that is the product of five 3's, that is, . We will say that is the base-exponent form of that number, i.e, is the base and is the exponent. To avoid confusion, when we have two or more numbers in base-exponent form multiplied together we will separate them by multiplication signs ( ). For example if we want to express we write , but since you cannot make a symbol in the answer box, you should write (5^6)( x^2) . Some questions will have answers that involve exponents and so you will need to know how to create your answers to these questions. Here we will use the ^ symbol (which is over the 6 on most keyboards). For example, you should write 3^5 when you want to say that the answer is .
To write as an answer in base-exponent form you should write
Evaluate each of the following expressions.
=
Write the following product in base-exponent form.
Looking at the evidence above we can see that when we multiply two numbers in base-exponent form, if the numbers have the same base our answer has the same base but we must the exponents. (answer with the word or the word ).
Multiply the following pairs of numbers and leave your answer in base-exponent form.
This one includes one more trick =
You can earn partial credit on this problem.