Question

Chapter:- Exponent

Simplify

(i)
$( - 4) ^{5} \div ( - 4) ^{8}$

(ii)
$( - 3) ^{4} \times ( \frac{5}{3} )^{4}$

(iii)
$2 ^{ - 3} \times ( - 7) ^{ - 3}$
​

Answer 1

Answer:

1. (-4)^5 ÷ (-4)^8

= -1024/ 65536

= -1/64 ans.

2. (-3)^4 * (5/3)^4

= 81* 625/81

= 625 ans.

3. (2)^(-3) * (-7)^(-3)

= (1/2)^3 * (1/-7)^(-3)

= 1/8 * 1/-343

= 1/ -2744