Question

Help Please?
I will fan YOU and Medal YOU!
So PLEASE HELP ME!!!!!

Answer 1

List three different ways to write 5^11 as the product of two powers. Explain why all three of your expressions are equal to 5^11

Answer 2

you know rule of exponents

Answer 3

\[A ^{m} \times A ^{n} = A ^{(m + n )}\]

Answer 4

Yes!

Answer 5

now you have ( m + n ) = 11. Choose 2 nos. that will give you 11 when added.

Answer 6

you have to express \[5^{11} = 5^{m} \times 5^{n}\]

Answer 7

so choose different combinations for m and n which will give you m + n = 11 and write your answers and state the above rule as your reason

Answer 8

So I need to write different #'s that = 11

? ? ? ? ?

Answer 9

two numbers that will be equal to 11 when added. Then use that two numbers to write it as 5^m times 5^ n

Answer 10

For example 3 + 8 = 11 right

5^ 11 = 5^3 x 5^8

Answer 11

So I need to make 3 ways right?
@rajee_sam

Answer 12

yes

Answer 13

and for your reason you write the product rule

Answer 14

Like this @rajee_sam

6 + 5 = 11 5^ 11 = 5^6 x 5^5

Answer 15

exactly

Answer 16

Ok.
Just to make sure can u give me 1 example for the reason please so i could understand please !!!

Answer 17

You see the rule I wrote on top with all stylish letters in block use that.
A^m x A^n = A ^ (m + n)

Answer 18

for all of them this is the reason

Answer 19

So I use the reason for all of them?

A^m x A^n = A ^ (m + n)

Answer 20

yes

Answer 21

Ok. Thx so much for your great examples!
I really do understand thx again !!! :)
@rajee_sam