Posted by **Whitney** on Thursday, August 7, 2014 at 2:58pm.

Simplify.

(a) 2^3(5)^-2

=?

(b) 2^-3/a^4

= 2^3a^4

=8a^4????

- Math -
**Steve**, Thursday, August 7, 2014 at 3:42pm
2^3 = 8

5^-2 = 1/5^2 = 1/25

so, (a) = 8/25

You cannot simply disregard the negative sign of the exponent, nor willy-nilly move items from bottom to top. You have directly replaced 2^-2 with 2^3 and 1/a^4 with a^4.

2^-3 = 1/2^3 = 1/8

So, (b) = 1/(8a^4)

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