Help lol I’m bad at mafs and I need halp

(A) 5^3 * 5^-4

= 5^(3-4)

= 5^(-1)

= 5^-1

= 1/5^1

= 0.2

Yes, expression has value between 0 and 1

(B) 3^5 / 3^-6

= 3^5 * 3^6

= 3^(5+6)

= 3^(11)

= 177147

No, expression does not have value between 0 and 1

(C) (1/4)^3 * (1/4)^2

= (1/4)^(3+2)

= (1/4)^(5)

= (1^5/4^5)

= 1 / 4^5

= 1 / 1024

= .000977

Yes, expression has value between 0 and 1

(D) (-7)^5 / (-7)^7

= (-7)^5 * (-7)^-7

= (-7)^(5-7)

= (-7)^(-2)

= 1 / (-7)^2

= 1 / 49

= 0.02041

Yes, expression has value between 0 and 1

Step-by-step explanation:

For these problems we need to know a few things:

(1) Powers of like bases, you add the exponent

This means the following:

x^y * x^z = x^(y+z)

Or

x^y / x^z = x^(y-z)

(2) Negative powers can be swapped on the fraction to be positive

This means the following:

x^-y = 1 / x^y

Or

1 / x^-y = x^y

Using these two things, we can easily simplify all the expressions given.

Cheers.