Question

. Decrypt using the given cipher. 31 43 23 53 34 44 51 24 Cipher: 1 2 3 4 5 1 A B C D E 2 F G H I/J K 3 L M N O P 4 Q R S T U 5 V W X Y Z​

Answer 1

Answer:

Given:

(6^{5} )^{4}(6

5

)

4

To find:

The value of (6^{5} )^{4}(6

5

)

4

Solution:

(6^{5} )^{4}(6

5

)

4

Use the rule of the exponents to simplify expression,

⇒ (6^{5} )^{4}(6

5

)

4

{ {(x^a)^b=x^{ab}}(x

a

)

b

=x

ab

}

To raise a power to another power, multiply the exponents,

⇒6^{5X4}6

5X4

Multiply 5 times 4,

⇒6^{20}6

20

It can be written as,

⇒2^{20}2

20

×3^{20}3

20

⇒3.6561583.656158 ×10^{15}10

15

So the final answer is 3.6561583.656158 ×10^{15}10

15