Answer:
The correct option is C.
Step-by-step explanation:
The given numbers are 21 and (6.3 · 10⁻⁴).
We need find the product of given numbers.
\(Product=21\cdot (6.3\cdot 10^{-4})\)
\(Product=(21\cdot 6.3)\cdot 10^{-4}\)
On simplification we get
\(Product=(132.3)\cdot 10^{-4}\)
Write the number 132.3 in scientific notation.
\(Product=(1.323\cdot 10^2)\cdot 10^{-4}\)
Using power property of exponents we get
\(Product=1.323\cdot 10^{2-4}\) \([\because x^mx^n=x^{mn}]\)
\(Product=1.323\cdot 10^{-2}\)
The product of given values is \(1.323\cdot 10^{-2}\). Therefore the correct option is C.
