Question

Prove that the value of expression 9^7 + 3^12 is divisible by 90.

Blank x 90

(Should be exponent with a base)
PLEASE ANSWER QUICK

Answer 1

Hey there!

`\bold{(9^7+3^1^2)/(90)}`

`\bold{9^7=4,782,969}`

`\bold{3^(12)=531,441}`

`\bold{(4,782,969+531,441)/(90)}`

`\bold{4,782,969+531,441=5314410}`

`\bold{(5314410)/(90)=69,049}`

`\boxed{\boxed{\bold{59,049}}}`

`\boxed{\boxed{\bold{Answer:3^(10)*90}}}`

Good luck on your assignment and enjoy your day

~
`\bold{LoveYourselfFirst:)}`

Answer 2

3^10

Explanation:

9^7 + 3^12

Replace 9 with 3^2

(3^2)^7 + 3^12

We know that a^b^c = a^(b*c)

3^(2*7) + 3^12

3^14 +3^12

Factor out 3^12

3^12 (3^2+1)

3^12 (9+1)

3^12(10)

But we need 90 not 10

3^10 * 3^2 (10)

3^10 *9 (10)

3^10 *(90)