Question

Find value of.
(2-¹×4-¹)÷2-²
with proper steps ​

Answer 1

Step-by-step explanation:

1/2 is the right answer

Answer 2

$2^{-1}$

Step-by-step explanation:

• To simplify the numbers with negative power. We have to change turn it Positive by reciprocating it.

• For example $4^{-2}$ can be written as $\frac{1}{4^{2} }$
• Like wise , $2^{-1}$ can be written as $\frac{1}{2}$ , $4^{-1}$ as $\frac{1}{4}$ and $2^{-2}$ as $\frac{1}{2^{2} }$
• Therefore $2^{-1}$ × $4^{-1}$ ÷ $2^{-2}$

$=\frac{1}{2}$ × $\frac{1}{4}$ ÷ $\frac{1}{2^{2} }$

$=\frac{1}{8}$ ÷ $\frac{1}{4}$

$=\frac{1}{8}$ × $\frac{4}{1}$

$=\frac{4}{8}$

$= \frac{1}{2}$ $=2^{-1}$

Value of $2^{-1}$ × $4^{-1}$ ÷ $2^{-2}$ is $2^{-1}$