Question

please answer me of all the questions​

Answer 1

Answer

(a) 7

(b) 3^6

(c) 1

(d) 5^6

Answer 2

Step-by-step explanation:

(a) $7^{4}$ × $7^{-3}$  

= $7^{4+(-3)}$            [∵ $a^{x}$× $a^{y}$ = $a^{x+y}$]

= $7^{4-3}$ = $7^{1}$ = 7 (Ans)

(b) 81 × $3^{2}$

= $81$ × $9$

= 729 (Ans)

(c) $7^{8}$ ÷ ($7^{5}$×$7^{3}$)

= $7^{8}$ ÷ ($7^{5+3}$)                  [∵$a^{x}$ ×$a^{y}$ = $a^{x+y}$]

= $7^{8}$ ÷

= $7^{0}$ = 1 (Ans)

(d) 625 × $5^{2}$

= 625 × 25  

=  15625 (Ans)