Answer:
A divisibility test is a rule to determine whether one whole number is divisible by another number.
If after dividing a number by a number we get an integer then we can say that the number is divisible by the number.
1) Here, the given expression,
[tex]\frac{10^6-5^7}{59}[/tex]
[tex]=15625[/tex]
Which is an integer,
⇒ [tex]10^6-5^7[/tex] is divisible by 59.
2) Here, the given expression,
[tex]\frac{81^7-27^9-9^{13}}{45}[/tex]
[tex]=\frac{1.2709329142\times 10^{13}}{45}[/tex]
[tex]=2.8242953648\times 10^{11}[/tex]
Which is an integer,
⇒ [tex]81^7-27^9-9^{13}[/tex] is divisible by 45.
