Question

Simplify and Express the result in power notation with positive exponent. a. (-4)^5÷(-4)^8 b. (1/2^3)^2 c. 2^-3×(-7)^-3 d. (3^-7÷3^-10)×3^-5 ​

Answer 1

a. (-4)^5/(-4)^8 = (-4)^-3 = -1/64
b. (1/2)^3^2 = (1/2)^6 = 1/64
c. 2^-3x (-7)^-3
= 1/8 * 1/343 = 1/2744
d. (3^-7 / 3^-10) x 3^-5
= 3^-7+10 x 3^-5
= 3^3 x 3^-5
= 3^-2= 1/9