Question

"Using words and equations, explain what you learned about exponents in this lesson sothat someone who was absent could read what you wrote and understand the lesson.Consider using an example like
`{2}^(4) * {3}^(4) = {6}^(4)`"

Answer 1

We have the next example

`{2}^4*{3}^4={6}^4`

we have a base and an exponent

`a^n`

a is the base and n is the exponent

a is the number we will multiply the number of times indicated by n

In the example given the bases are 2,3,6 and the exponent is 4

for base 2 and the exponent 4, the operation is

`2^4=2*2*2*2=16`

for base 3 and the exponent 4 the operation is

`3^4=3*3*3*3=81`

if we have the same exponent we can use the next rule

`a^n* b^n=(a\cdot b)^n`

in our example

`{2}^4*{3}^4=(2*3)^4=6^4`

the result of our example is

`\begin{gathered} {2}^4*{3}^4={6}^4 \\ 6^4=1296 \end{gathered}`