Question

|(8.6x107):(9.1x10-8)

Answer 1

Answer:

$9.45054*10^{14}$

Step-by-step explanation:

we have

$\frac{8.6*10^{7} }{9.1*10^{-8}}=\frac{8.6}{9.1}*( 10^{7})*(10^{8})\\ \\= \frac{8.6}{9.1}*( 10^{7+8})\\ \\= \frac{8.6}{9.1}*( 10^{15})\\ \\=0.945054*( 10^{15})\\ \\=9.45054*10^{14}$

Answer 2

Answer:

$\large\boxed{9.45\cdot10^{14}}$

Step-by-step explanation:

$(8.6\times10^7):(9.1\times10^{-8})\\\\=\dfrac{8.6}{9.1}\cdot\dfrac{10^7}{10^{-8}}\qquad\text{use}\ \dfrac{a^n}{a^m}=a^{n-m}\\\\=\dfrac{86}{91}\cdot10^{7-(-8)}\\\\=\dfrac{86}{91}\cdot10^{7+8}\\\\=\dfrac{86}{91}\cdot10^{15}\\\\\approx0.945\cdot10^{15}\\\\=9.45\cdot10^{-1}\cdot10^{15}\qquad\text{use}\ a^n\cdot a^m=a^{n+m}\\\\=9.45\cdot10^{-1+15}\\\\=9.45\cdot10^{14}$