Question

$(2^{ - 2} \times 4 ^{ - 1} ) \: \div 2 ^{ - 4}$
evalute the following​

Answer 1

Answer:

Step-by-step explanation:

2^-2 * 4^-1   /  2^-4

2^-2 * 2^-2 / 2^-4

we know that a^m * a^n = a^m+n

so 2^-2 * 2^-2 = 2^-4

so 2^-4 / 2^-4

= 1

Answer 2

2 is to power of -2×4 is to power of -1 = 8 is to power of 3,

8 is to power of 3 ÷ 2 is to power of -4=4 is to power of 1