Question

(5) (ii) ((5^2)^3×5^4)÷5^6 simplify and give reasons
answer:
((5^2)^3×5^4)÷5^6
((5)^2×3×5^4)/5^6 (therefore (a^m)^n/a^mn)
=5^6×5^4/5^6(therefore a^m×a^n=a^m+n)
5^6+4/5^6=5^10/5^6=5^10-6 (therefore a^m/a^n=a^mn)
=5^4=625 (therefore 5^4=5×5×5×5)​

Answer 1

Answer:

(1/2)5 = 243 / 7,776 = 0.03125

Step-by-step explanation:

Answer 2

Answer:

5^10/5^6=5^10-6=5^4=625

Step-by-step explanation:

(a^m)^n=a^mn

(5^2×3)×5^4÷5^6

(5^6)×5^4÷5^6

a^m×a^n=a^m+n

5^6+4÷5^6=5^10÷5^6

5^10/5^6

a^m/a^n=a^m-m

5^10/5^6=5^10-6=5^4=625

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