Question

3^5*3^2



9^4*9^5




7^4*7^2

Answer 1

use the idea
\[ b^{a}\cdot b^c = b^{a+c} \]

Answer 2

It comes down to adding up small integers.

Answer 3

Do you follow?

Answer 4

NO

Answer 5

The formula is short hand. Match the b in the formula to the base in your question
b^a * b^c
3^5 * 3^2

match the b to 3. match the a to 5. match c to 2 Can you do that.
Now use this
b^a * b^c = b^(a+c)
answer is b to the (a+c) power. add up a and c to get the power

Answer 6

O.K I GOT IT NOW

Answer 7

Here is another way to do this.
3^5 is a short way to write 3*3*3*3*3 (three times itself 5 times)
3^2 is a short way to write 3*3 (three times itself twice)
so
3^5 * 3^2 is the same as 3*3*3*3*3 * 3*3
count the number of 3's, and use the short way to write the answer
3^7

Answer 8

Of course, it is faster to use the formula, because doing 3^20 * 3^10 means writing a lot of 3's. It's easier to just add 20+10 and get the answer 3^30

Answer 9

Can you do
9^4*9^5
?