Question

Can someone help me with this? I need answers quick!
Write the following expressions in simplified form.

1) 5^-1

2)3^-3

3) 4^4/4

4) 8^4/8^0

5) (-4)^8/(-4)^4

6) g^9/g^15



Complete the following equations.

1) 1/3^5 = 3^?

2) 1/-125 = (-5)^?

3) z^?/z^8 = z^-3




Is each statement true or false? Explain your reasoning.

(-1)^3 = 1^-3

Answer 1

In the future, would you please post just one or two problems at a time.  Be fair to others who also want help.

#5:     (-4)^8/(-4)^4 can be expressed more clearly as     (-4)^8
                                                                                         ---------
                                                                                           (-4^4)

and this can be reduced to (-4)^4    by subtracting the exponent 4 from the 
                                                         exponent 8.

furthermore, because of the even exponent, (-4)^4 can be written as 4^4.

Note that 4^4 = (4^2)^2 = 16^2 = 256 (answer)