Question

Plz help with exponents questions

Answer 1

1)

`5^(-8)* 5^(-4) = 5^(-8 +(-4)) = 5^(-8-4) = 5^(-12)`

The answer is D

2)

`3^(-6-x) = 3^(4)\\-6-x=4\\x = -10`

The answer is A

3)

`(10^6) ^x = 10^(-18)\\6x = -18\\x=-3`

The answer is -3

4)

`(5^(-6)* 5^2 )/(5^(-8)) = (5^8 * 5^2)/(5^6) = (5^(8+2))/(5^6) = (5^(10))/(5^6) = 5^(10-6) = 5^4`

The answer is C

5)

`(5^8)/((5^(-4))^(-3)) = (5^8)/(5^(-4* -3))=(5^8)/(5^(12))= 5^(8-12) = 5^(-4)`

Your answer is -4

Answer 2

1. 5^-12 because a^m * a^n = a^m+n
2. 10 because a^m / a^n = a^m-n
3. -3 because ( a^n)^m = a^n*m
4. (5^-6 * 5^2) / 5^-4 = 5^-4 / 5^-8 = 5^-4+8 = 5^4
5. 5^8 / ( 5^-4)^-3 = 5^8 / 5^12 = 5^8-12 = 5^-4