"To the power of" (powers in division have to be subtracted)

[PeroK]

81 to the power of 3 divided by 81 to the power of 2 for me is 81 to the power of 1 , the answer is 3 to the power of 4

What's the difference between $81$ and $3^4$?

 

[chriscarson]

What's the difference between $81$ and $3^4$?

nothing but I understand it now that you asked it .so you have to dissolve indices and then create it again for the answer? what about when they have different bases like 64² diveded by 16³ ? my result was 4^-1

 

[PeroK]

nothing but I understand it now that you asked it .so you have to dissolve indices and then create it again for the answer? what about when they have different bases like 64² diveded by 16³ ? my result was 4^-1

An answer of $81$ is just as good as an answer of $3^4$.

 

[chriscarson]

An answer of $81$ is just as good as an answer of $3^4$.

ok thanks

 

[Mark44]

what about when they have different bases like 64² diveded by 16³ ? my result was 4^-1

No.
$$\frac {64^2}{16^3} = \frac {4^2 16^2}{16^3} \ne \frac 1 4$$

It would be good for you to learn and memorize the basic properties of exponents such as
$(ab)^n = a^nb^n$
$a^ma^n = a^{m + n}$
$\frac {a^m}{a^n} = a^{m - n}$
There are a few more.

 

[chriscarson]

No.
$$\frac {64^2}{16^3} = \frac {4^2 16^2}{16^3} \ne \frac 1 4$$

It would be good for you to learn and memorize the basic properties of exponents such as
$(ab)^n = a^nb^n$
$a^ma^n = a^{m + n}$
$\frac {a^m}{a^n} = a^{m - n}$
There are a few more.

https://www.matesfacil.com/english/secondary/solved-exercises-powers.htmlAfter all this time it sow that I found something with numbers and not letters to understand more . In the bottom link . Thanks I will get help with yours too.