Question

Evaluate. (1/4)^−2−(5^0⋅2)⋅1^−1 Enter your answer in the box. HELP! 100 POINTS!

Answer 1

`\Huge \boxed{\mathrm{14}}`

`\rule[225]{225}{2}`

Explanation:

`((1)/(4) )^(-2) - (5^0) (2)(1^(-1))`

Solving for exponents and multiplying:

`(4 )^(2) - (1) (2)(1)`

`16-2`

Subtracting:

`\Rightarrow \ 14`

`\rule[225]{225}{2}`

Answer 2

`\huge\boxed{14}`

Explanation:

`\sf ((1)/(4) )^(-2) - (5^0 * 2 )* (1^(-1))`

Using law of exponents
`a^0 = 1` and
`1/a^m = a^(-m)`

=>
`4^2 - (1*2)*(1)`

=>
`16 - 2`

=> 14