Question

Simplify and write in exponential form:

(i) 2^9 ÷ 23

(ii) 10^8 ÷ 10^4

(iii) 9^ -11 ÷ 9^ -7​

Answer 1

simple and writing exponential form

Answer 2

Answer:

(i) $2^9$ ÷ $2^3$ $=2^6$

(ii) $10^8$ ÷ $10^4$ $=10^4$

(iii) $9^{-11}$ ÷ $9^{-7}$ $=3^{-8}$

Step-by-step explanation:

(i) $2^9$ ÷ $2^3$

$=2^{9-3}$  [∵ $\frac{a^m}{a^n} = a^{m - n}$]

$=2^6$

(ii) $10^8$ ÷ $10^4$

$=10^{8-4}$  [∵ $\frac{a^m}{a^n} = a^{m - n}$]

$=10^4$

(iii) $9^{-11}$ ÷ $9^{-7}$

$=9^{-11-(-7)}$  [∵ $\frac{a^m}{a^n} = a^{m - n}$]

$=9^{-4}$

$=3^{-8}$ [∵ $a^{m^{n}} = a^{mn}$]