Question 1

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

Question 2

$\\ \rm\hookrightarrow (-6.2* 10^(-4))/(9.75* 10^6)$

$\\ \rm\hookrightarrow 0.636* 10^(-4-6)$

$\\ \rm\hookrightarrow 0.636* 10^(-10)$

$\\ \rm\hookrightarrow 6.4* 10^(-11)$

Question 3

Answer:

-6.36 * 10^(-11)

Explanation:

(-6.2*10^(-4))/(9.75*10^6)

$\implies (-6.2)/(9.75)* (10^(-4))/(10^6)$

$\implies (-6.2)/(9.75)=-6.36*10^(-1)$

Apply exponent rule:
(a^b)/(a^c)=a^(b-c)

$\implies (10^(-4))/(10^6)=10^((-4-6))=10^(-10)$

$\implies (-6.2)/(9.75)* (10^(-4))/(10^6)=-6.36 * 10^(-1) * 10^(-10)$

Apply exponent rule:
a^b * a^c=a^((b+c))

$\implies -6.36 * 10^(-1) * 10^(-10)=-6.36 * 10^((-1-10))$

$\implies -6.36 * 10^(-11)$

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