Question

MEDAL GIVEN!
Rewrite each expression in the form ax^n. Remember:(ax^m)^n=a^n x^mn
a. (16x^28)^-5/4
b. (-32x^-30)^-6/5

Answer 1

a is the coefficient, x is a variable and we know that n is the power.
Looking at the equation

a = 16
n = -5/4

put it in the form ax^n
a. ax^n = 16x^-5/4

can you solve for b.?

Answer 2

so i did it this method.. (16)^-5/4 and x^28^-5/4
since you have to multiply exponents 28 and -5/4 for the x
the product would be x^-35
as for the 4√16^-5 i'm not sure how you would write that

Answer 3

would you do 2x2x2x2 which is 16 2^4 but 2^-5 isn't a clean value its a decimal

Answer 4

i get .03125 times x^-35 as my final answer but i'm not really positive its correct

Answer 5

yea 2^4 = 16.

My question is once you get it in the form do you have to solve for the equation
(ax^m)^n=a^n x^mn?
Since the only thing i see it asks is rewrite the expression in the form ax^n.
That technically doesn't mean that you have to solve for it

Yea but you are doing it right

Answer 6

they just want you to keep it in that form and solve the value in the square root.. the reason why I wasn't sure if I did the math correct was because the 4√16^-5 was raised to a negative exponent which threw me off a little

Answer 7

no its correct as long as the coefficient isn't a negative number, which if it was would leave it as an imaginary number

Answer 8

oh ok.. because for some reason i thought maybe it would be 1/16^-5? lol and yea that makes sense because it's asking for it to be in the for ax^n

Answer 9

hmm i do this both ways let me see what i get but the result will be postive with a negative power

Answer 10

the 2 raised to the -5