simplify the expressions. state each property of exponents used.
(a^2)^3
thanks!
2007-07-03 04:38:00 · 10 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
formula = (a^ x)^y
= a ^ ( x * y)
:> (a^2)^3 = a^(2 * 3)
=a^ 6
2007-07-03 04:43:49 · answer #1 · answered by Tubby 5 · 0⤊ 0⤋
a^6. 2 and 3 are integers uses as exponents.
2007-07-03 11:50:07 · answer #2 · answered by cidyah 7 · 0⤊ 0⤋
a^(2*3) = a^6
2007-07-03 11:42:55 · answer #3 · answered by Grant d 4 · 0⤊ 0⤋
The answer, as shown by the previous replies, is a^6.
Here's why:
(a^2)^3 means (a^2) to the third power, that is,
(a^2) * (a^2) * (a^2),
and (a^2) is a*a, so
(a^2) * (a^2) * (a^2) = (a*a) * (a*a) * (a*a) = a*a*a*a*a*a = a^6
This reasoning is perfectly general, so you have
(a^n)^m = a^(n*m)
And this is also why a^n^m is usually interpreted as a^(n^m), since (a^n)^m could have been written a^(n*m)
2007-07-03 11:52:05 · answer #4 · answered by Anonymous · 0⤊ 0⤋
(a^2)^3 to answer this you just multiply 2 times 3 and the answer is a^6
2007-07-03 11:46:34 · answer #5 · answered by ashley 3 · 0⤊ 0⤋
Quick guide: (a^m)^n = a^m*n
So....
(a^2)^3 = a^2*3
=a^6
Property used: Power of a Power.
2007-07-03 11:48:56 · answer #6 · answered by Christina J ~ spygirl 2 · 0⤊ 0⤋
You need to know something about exponents...
a^0=1
a^1=a
(a^p)(a^q)=a^(p+q)
(a^p)^q=a^(pq) <=== This one seems to apply here.
(a^2)^3
2007-07-03 11:54:01 · answer #7 · answered by gugliamo00 7 · 0⤊ 0⤋
it means that you multiply a power by a power to get the power of a since we have two powers. a^6
2007-07-07 10:49:35 · answer #8 · answered by petite fille 2 · 0⤊ 0⤋
= a² x a² x a²
= a x a x a x a x a x a
= a^6
Rule
(a^m)^n = a^(mn)
(a²)³ = a^6
2007-07-07 02:38:32 · answer #9 · answered by Como 7 · 0⤊ 0⤋
(a^2)^3
just mutiply 2*3
a^6
2007-07-03 12:48:23 · answer #10 · answered by edik 4 · 0⤊ 0⤋