Which Shows the expression below in simplifies form? Show your work.
Expression - (9 * 10 to the 4th power) * (6 * 10 to the negative 5th power)
Choices:
A. - 5.4 * 10 to the -1 power.
B. - 5.4 * 10
C. - 15 * 10 to the -1 power
D. - 5.4 * 10 to the 1st power

Question

Which Shows the expression below in simplifies form?  Show your work.
Expression - (9 * 10 to the 4th power) * (6 * 10 to the negative 5th power)
Choices:
A. - 5.4 * 10 to the -1 power.
B. - 5.4 * 10
C. - 15  * 10 to the -1 power
D. - 5.4 * 10 to the 1st power

shiree19 · Answer

Like this:  $$(9 * 10^{4}) * (6 * 10^{-5})$$

jadeishere · Answer

-5.4 to the first power, I think

shiree19 · Answer

yeah, but how do you get that?

anonymous · Answer

What you need to do is just simplify what you have, instead of writing it as$$-(9*10^4)*(6*10^{-5})$$think of it without parenthesis and move things around$$-9*6*10^4*10^{-5}$$now, since two of the numbers have the same base, that being 10, the only difference is the power they are raised to, so recall what happens when you have a common base and different powers being multiplied together$$X^a*X^b=X^{a+b}$$does that help you solve it?

shiree19 · Answer

Ok.  Thanks so much!