Question about solving fractions?

If you have a fraction that contains, for example, a/b*a, that is b because a in the numerator and a in the denominator cancel each other out

If I now have a^5/a^6, that would be a, right? Because you subtract the exponents during division, and a^1 is simply a.

I just want to be sure and I don't rely too much on math AIs

LG

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Halbrecht
6 months ago

to remain

a/(ba) = 1/b

yes, a truncated

.

^5/a^6 is 1/a^1 = 1/a

.

The rule is both

subtracting the exponents (starting from the counter)

=

^(1-1)/b^1 =

=

1/b

the something high zero is always 1!

.

^(5-6) = a^-1 and a^-1 = 1/a^1 = 1/a

Sophonisbe
6 months ago

If one has a break which contains, for example, a/b*a, this is yes b, because a in the counter and a in the denominator are cancelled.

No. a/(b*a) is 1/b, (a/b)*a is a2/b

If I have a^5/a^6 now, that would be a, right? Because the exponents are subtracted from the division and a^1 is simply a.

This is

NorbertWillhelm
6 months ago

a.

a/(b*a)=1/b

^5/a^6=a^(-1)=1/a

Tannibi
6 months ago

The second fracture is 1/a, because 5-6=1 and

^(-1) = 1/a