Question

Karen has been studying fractions, decimals, and exponents in math class with Mrs. Hudson. She wanted more practice, so she looked through her science magazines for numbers with exponents. Take a look at some of the numbers Karen found and see if you can write equivalent values for each of them.
Remember to use at least two of vocabulary words in the written portion of the assignment. Don't forget to review the rubric to see how you will be graded (35 points).


1. Apply the properties of integer exponents to write equivalent numerical expressions. Show all work.

4^{1}.4^{2}

Answer 1

It is clear in the question that base of both the numbers is same. So according to the property of integer exponents, we add the exponents of all the numbers being multiplied but have same bases.

Here we have

4^{1}.4^{2}

we are going to add the exponents

=4^{1+2}

=4^{3}

And if we want to write it in simple form, then

4^{3} = 4.4.4 = 64