Question

(3x10⁴) (2x10⁵)Find the answer by simplifying

Answer 1

`\text{ 6}*10^9`Step-by-step explanation:

The given expression (3x10⁴) (2x10⁵)

we seperate the terms and collect like terms:

`\begin{gathered} \mleft(3*10^(4)\mright)(2*10^(5))\text{ = 3}*10^(4)*2*10^(5) \\ =\text{ 3}*2*10^(4)*10^(5) \end{gathered}`

When multiplying exponent (power) of the same base, the exponenet of the two numbers (base) are added together.

`\begin{gathered} \text{Base = 10 , exponent = 4 and 5} \\ =3*2*10^(4+5) \\ =\text{ 6}*10^9 \end{gathered}`