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17 Aug 2014, 02:20
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A
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Which of the following is equal to \(10^{-(-3)^2}\)?
(A) 1/10^9
(B) 1/10^6
(C) 1/10^3
(D) 10^6
(E) 10^9
PS10503
(A) 1/10^9
(B) 1/10^6
(C) 1/10^3
(D) 10^6
(E) 10^9
PS10503
I selected D on the understanding that (x^r)^s = x^rs. Eg (x^3)^4 = x^12. So by my working on the above I get:
= 10^-(-6) (because -3 X 2 = -6)
= 10^6
Can someone please explain my error. Thanks!
= 10^-(-6) (because -3 X 2 = -6)
= 10^6
Can someone please explain my error. Thanks!
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Updated on: 12 Jun 2023, 19:51
Originally posted by BrushMyQuant on 17 Aug 2014, 02:29.
Last edited by BrushMyQuant on 12 Jun 2023, 19:51, edited 2 times in total.
Last edited by BrushMyQuant on 12 Jun 2023, 19:51, edited 2 times in total.
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This problem is testing your knowledge on the difference between x^(r^s) and not (x^r)^s
in case of x^(r^s) we will raise r to the power of s first and then raise x to the power of (r^s)
so, in this case we will do
10^-(-3)^2 => 10^-(-3^2) => 10^-(9) = 1/(10^9)
So, Answer will be A
Hope it helps!
Watch the following video to learn the Basics of Exponents
in case of x^(r^s) we will raise r to the power of s first and then raise x to the power of (r^s)
so, in this case we will do
10^-(-3)^2 => 10^-(-3^2) => 10^-(9) = 1/(10^9)
So, Answer will be A
Hope it helps!
Watch the following video to learn the Basics of Exponents
General Discussion
20 Mar 2017, 02:39
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-3^2 = 9
therefore 10^ -(-3)^2 = 10^-9 = 1/10^9
Option A
therefore 10^ -(-3)^2 = 10^-9 = 1/10^9
Option A
