Question

3) Simplify using laws of exponents:

(i) (2) to power -3 x (3) to power -3

(ii) (12/15) to power -4 x 5 to power -4

Answer 1

Answer:

answer of first question is '6 to the power of -3' and the Answer to the second question is '4 to the power of -4'

Answer 2

Step-by-step explanation:

(i)

= 2 ^-3 * 3^-3

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

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

= (1/6)^3

= 6^-3

(ii)

= (12/15)^-4 * (5)^-4

= (15/12) ^4 * (1/5)^4

= (15/12* 1/5 )^4

= ( 1/4 )^4

= 4^ -4