Question

Use the power of quotient rule to rewrite the expression into a single exponent

1. 10^-5/5^-5
2. (1/4)^-7 + (-2)^-7
3. (-15)^12/3^12
4. (- 6/5)^10 ÷ (- 3/2)^10

5. (-1.5)^3/(2.5)^-3

6. (5.6)^-14/4^14

Answer 1

(1/4)^-7 + (-2)^-7
(4^-1)^-7 + (-1)^-7 (2)^-7
4^7 - 2^-7
2^14 - 2^-7
(2^21 - 1)/2^7
there's no way to simplify that into a single power of 2

(-15)^12/3^12
(-1)^12 (3*5)^12 / 3^12
5^12

what do you get on the others?

Answer 2

OOBLECK AGAIN?