Question

Simplify (1/2)³x(1/2)² and write in exponential form​

Answer 1

To simplify (1/2)³x(1/2)², we can multiply the coefficients and add the exponents with the same base:

(1/2)³x(1/2)² = (1/2)^(3+2) = (1/2)^5

Therefore, (1/2)³x(1/2)² simplified is equal to (1/2)^5, which can also be written as 1/32 in fraction form.

Explanation:

Answer 2

In order to multiply we use the formula for indices' multiplication that is

`{n}^(a) * {n}^(b) = {n}^(a + b)`

Hence,

`{( (1)/(2) )}^(3)( { (1)/(2)}^(2)) = {( (1)/(2) )}^(5)`

`( \frac{{1}^(5) }{{2}^(5) } ) = {2}^( - 5)`