Question

What is the value of -1/5(4-14(1/4)^2

Answer 1

-5/8.

Step-by-step explanation:

The value of the equation -1/5(4-14(1/4)^2 can be found by following the order of operations, which is remembered by the acronym PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

First calculate the value inside the parentheses: (1/4)^2 = 1/16. Then subtract this from 4: 4 - 14*(1/16) = 4 - 7/8 = 25/8. Lastly, multiply by -1/5: -1/5 * 25/8 = -25/40 = -5/8.

Answer 2

The value of
`\(-(1)/(5)(4 - 14\left((1)/(4)\right)^2)\)` is
`\(-(5)/(8)\)`, which is equivalent to
`\(-0.625\)`.