Question

Find the simplified form of the expression. Give your answer in scientific notation.

Question 3 options:

1.8 x 10-16


18 x 10-13


1.8 x 10-13


1.8 x 10-15

Answer 1

1.8 x
`10^(13)`

Explanation:

The expression is [3x10^6][6x10^8} ]

Step 1: Multiply the coefficients 3 and 6, we get 18.

Step 2: If we have the same base, we add the powers.

So 10^6 *10^8 = 10^(6 + 8) =
`10^(12)`

Step 3: Now combine 18 and
`10^(12)`

= 18 x
`10^(12)`

The coefficient must be less than 10, in 18, we have one 10, we can move that to the exponent and 18 = 1.8 *10

Step 4: When we simplify, we get 1.8 x
`10^(13)`

Hope you will understand the steps.

Thank you.