Respuesta :
Answer:
[tex]2.226X 10^8[/tex]
Step-by-step explanation:
We are to determine the value of [tex](5.3 X 10^4) (4.2 X 10 ^ 3)[/tex] in scientific notation.
Given:
[tex](5.3 X 10^4) (4.2 X 10 ^ 3)[/tex]
STEP 1: Remove the brackets.
[tex](5.3 X 10^4) (4.2 X 10 ^ 3)=5.3 X 10^4X4.2 X 10 ^ 3[/tex]
STEP 2: Separate the numbers and index of 10.
[tex]=5.3 X4.2X 10^4 X 10 ^ 3[/tex]
STEP 3: Multiply the Numbers and Index of 10
[tex]=22.26X 10^{4+3}[/tex]
STEP 4: Simplify and write in Scientific notation
[tex]22.26=2.226X10\\Therefore:\\22.26X 10^{4+3}=2.226X10X 10^{4+3}=2.226X10X 10^7=2.226X 10^8[/tex]
Thus:
[tex](5.3 X 10^4) (4.2 X 10 ^ 3)=2.226X 10^8[/tex] in scientific notation
Answer:
C.) 2.226 times 10^8
Step-by-step explanation:
5.3* 10^4 * 4.2 * 10^3
5.3* 4.2 =22.26
10^(4+3) = 10^7
22.26*10^7
2.226 * 10 ^(7+1)
=2.226*10^8
