Respuesta :

Answer:

0.000842

Step-by-step explanation:

[tex]~~\dfrac{8.42 }{10^4}\\\\=\dfrac{8.42 \times 10^2}{10^4 \times 10^2}\\\\=\dfrac{842}{10^6}\\\\=\dfrac{842}{1000000}\\\\=0.000842[/tex]

Answer:

0.000842

Step-by-step explanation:

Quotient: The result obtained when dividing one quantity by another.

[tex]\textsf{Apply exponent rule} \quad \dfrac{1}{a^n}=a^{-n}\quad \textsf{to the denominator}:[/tex]

[tex]\implies \sf \dfrac{8.42}{10^4} = 8.42 \times 10^{-4}[/tex]

When multiplying by 10 to the power of a negative number, simply move the decimal point to the left by the number in the power.

Therefore, move the decimal point to the left by 4 places:

One place:     8.42 ⇒ 0.842

Two places:            ⇒ 0.0842

Three places:         ⇒ 0.00842

Four places:           ⇒ 0.000842