Question

Show that the expression 7^9+9^7 is divisible by 64

Answer 1

Answer:

yes,it divisible by 64

=705,259

Step-by-step explanation:

(7^9+9^7)/64

7^9=40,353,607

9^7=4,782,969

7^9+9^7=45,136,576

45,136,576/64=705,259

Answer 2

The expreesion 7^9 + 9^7 is divisible by 64

Solution:

Given that the expression is:

$7^9 + 9^7$

We have to show that the above expressioon is divisible by 64

Solve the given expression

$7^9 + 9^7 = 40353607 + 4782969\\\\7^9 + 9^7 = 45136576$

We have to check whether 45136576 is divisible by 64

Divisibility rule for 64 :

The number formed by the last six digits must be divisible by 64

45136576

Lat six digits = 136576

$\frac{136576}{64} = 2134$

Thus the number is divisible by 64

Therefore, the expreesion 7^9 + 9^7 is divisible by 64

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