Question

Use the properties of exponents to simplify each of the following expressions, writing your answer with only positive exponents.

Answer 1

\[\left[ 5m^4n^{-2})^{-1} \right]^{-2}\]

Answer 2

(m^8)/(25n^4)

Answer 3

How did you solve it Meverett04? Can you show me the steps please?

Answer 4

\[(x^m)^n = x^{mn}\] and \[x^{-m} = \frac{1}{x^m}\]
is what you need here

Answer 5

For m, multiply the exponents

4 times -1 times -2 equals 8

Answer 6

For n, multiply the exponents

-2 times -1 times -2 equals -4

but since we have a negative four, this will go in the denominator with a positive 4

Answer 7

For 5

5^2 or five squared is 25, but since we have a negative exponent, we place the 25 in the denominator

Answer 8

thanks man!

Answer 9

here is another problem if you would like to help me solve it.

Answer 10

\[\left[ 100^0(x^{-1}y^3)^{-1}/x^2y \right]^{-3}\]

Answer 11

I didn't know how to post it as a fraction but if i did x^2y would be the denominator.