Question

PLEASE HELP ILL GUVE EXTRA POINTS PLEASE!!!

Answer 1

`\boxed{\bf 7 * 10 {}^( - 3)}`

Explanation:

• 
  `\cfrac{6.3}{9} * \frac {10 ^( - 5) }{10 {}^( - 3) }`
• 
  `0.7 * \cfrac{10 {}^( - 5) }{10 {}^( - 3) }`
• 
  `0.7 * 10 { }^( - 5 - 3 * - 1)`
• 
  `0.7 * 10 {}^( - 5 + 3)`
• 
  `0.7 * 10 { }^( - 2)`

Write 0.7 *10^-2 into scientific notation:

• 
  `7 * 10 {}^( - 3)`

Hope this helps! ^^"

Answer 2

`7 * 10^(-3)`

Explanation:

`\begin{aligned}(6.3 * 10^(-5))/(9 * 10^(-3)) & =(6.3)/(9) * (10^(-5))/(10^(-3))\\\\& = 0.7 * (10^(-5))/(10^(-3))\end{aligned}`

`\textsf{Apply exponent rule} \quad (a^b)/(a^c)=a^(b-c):`

`\begin{aligned}\implies 0.7 * (10^(-5))/(10^(-3)) &=0.7 * 10^(-5-(-3))\\& = 0.7 * 10^(-2)\end{aligned}`

`\textsf{Rewrite}\:0.7\:\textsf{as}\: 7 * 10^(-1):`

`\implies 0.7 * 10^(-2)=7 * 10^(-1) * 10^(-2)`

`\textsf{Apply exponent rule} \quad a^b * a^c=a^(bc):`

`\implies 7 * 10^(-1) * 10^(-2)=7 * 10^(-3)`