Answered

Welcome to Westonci.ca, the Q&A platform where your questions are met with detailed answers from experienced experts. Get quick and reliable solutions to your questions from a community of seasoned experts on our user-friendly platform. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.

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]

Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Get the answers you need at Westonci.ca. Stay informed with our latest expert advice.