Question

Find the value of (2^−2 − 4^0) × 4^−2​

Answer 1

Answer:

-0,046875

Step-by-step explanation:

$( {2}^{ - 2} - {4}^{0} ) \times {4}^{ - 2} \\ = (0.25 - 1) \times 0.0625 \\ = - 0.75 \times 0.0625 \\ = - 0.046875$

Answer 2

-3/64

A negative exponent you treat the same as a positive exponent, except the answer is the reciprocal (ex the reciprocal of 5 is 1/5, and the reciprocal of 3/5 is 5/3)

2^-2 is the same thing as 1/2^2, which equals 1/4. 4^0 = 1, as any number to the 0th power equals 1.

1/4-1=-3/4

4^-2 is the same thing as 1/4^2, which is 1/16.

Multiply -3/4 by 1/16, to get your answer, which is -3/64