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Divide -6.2x10^-4 by 9.75x10^6. Express your answer in scientific notation. Round the coefficient to two decimal places.

Sagot :

semsee45

Answer:

[tex]-6.36 \times 10^{-11}[/tex]

Step-by-step explanation:

[tex]\dfrac{-6.2\times10^{-4}}{9.75\times10^6}[/tex]

[tex]\implies \dfrac{-6.2}{9.75}\times \dfrac{10^{-4}}{10^6}[/tex]

[tex]\implies \dfrac{-6.2}{9.75}=-6.36\times10^{-1}[/tex]

Apply exponent rule: [tex]\dfrac{a^b}{a^c}=a^{b-c}[/tex]

[tex]\implies \dfrac{10^{-4}}{10^6}=10^{(-4-6)}=10^{-10}[/tex]

[tex]\implies \dfrac{-6.2}{9.75}\times \dfrac{10^{-4}}{10^6}=-6.36 \times 10^{-1} \times 10^{-10}[/tex]

Apply exponent rule: [tex]a^b \times a^c=a^{(b+c)}[/tex]

[tex]\implies -6.36 \times 10^{-1} \times 10^{-10}=-6.36 \times 10^{(-1-10)}[/tex]

[tex]\implies -6.36 \times 10^{-11}[/tex]

[tex]\\ \rm\hookrightarrow \dfrac{-6.2\times 10^{-4}}{9.75\times 10^6}[/tex]

[tex]\\ \rm\hookrightarrow 0.636\times 10^{-4-6}[/tex]

[tex]\\ \rm\hookrightarrow 0.636\times 10^{-10}[/tex]

[tex]\\ \rm\hookrightarrow 6.4\times 10^{-11}[/tex]

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