Can someone explain the rules for raising a power to a power?
Please explain and give some examples. I would appreciate it if you can answer this as soon as possible.
4 answers
I really need to understand it for a question, and I want to see some examples of it too.
Depends what you mean by raising a power to a power
e.g.
(3^2)^3
= (3^2)(3^2)(3^2) = (9)(9)(9) = 729
or
= 3^6 = 729
if the two exponents are at the same "horizontal level"
then you multiply the two or more exponents
(a^x)^y = a^(xy)
do not confuse that with (a^x)(a^y) = a^(x+y)
if the exponent itself is raised, you work from the top down
e.g.
3^42
= 3^16
= 43046721
Hope that helps you
e.g.
(3^2)^3
= (3^2)(3^2)(3^2) = (9)(9)(9) = 729
or
= 3^6 = 729
if the two exponents are at the same "horizontal level"
then you multiply the two or more exponents
(a^x)^y = a^(xy)
do not confuse that with (a^x)(a^y) = a^(x+y)
if the exponent itself is raised, you work from the top down
e.g.
3^42
= 3^16
= 43046721
Hope that helps you
Thank you Reiny, I now understand the rule or rules. You helped me a lot, and saved me some researching time. Sorry that I couldn't say thank you sooner, but I had to do something else. Thank you again, you really did help me.
Just curious how posting a question, waiting for an answer, reading it and posting a reply saved time over just opening your text to the appropriate section and reading that explanation.
Just sayin' . . .
Just sayin' . . .