Question

Evaluate (8^6)(8^-3)(4^-2)/2 A) 8 B) 16 C) 32 D) 64

HELP ME

Answer 1

16,A

hope this helps :)

Answer 2

Option (B)

Answer:

The solution of
`(\left(8^(6)\right)\left(8^(-3)\right)\left(4^(-2)\right))/(2) \text { is } 16`

Solution:

Given that

`(8^(6) * 8^(-3) * 4^(-2))/(2)`

Rewrite the above expression

`=(\left(2^(3)\right)^(6) *\left(2^(3)\right)^(-3) *\left(2^(2)\right)^(-2))/(2)`

On applying the law of exponent
`\left(a^(m)\right)^(n)=a^(m n)`

`=(2^(18) * 2^(-9) * 2^(-4))/(2)`

Rewrite the above expression

`=2^(18) * 2^(-9) * 2^(-4) * 2^(-1)`

Again applying the law of exponent
`a^(m) * a^(n)=a^(m+n)`

`=2^(18-9-4-1)`

`=2^(4)`

=16

Value of
`(8^(6) * 8^(-3) * 4^(-2))/(2) is 16`

Hence option (B) is correct.