96,231 views
40 votes
40 votes
PLEASE HELP ILL GUVE EXTRA POINTS PLEASE!!!

PLEASE HELP ILL GUVE EXTRA POINTS PLEASE!!!-example-1
User Fahad Ajmal
by
2.5k points

2 Answers

18 votes
18 votes

Answer:


\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! ^^"

User Thurizas
by
3.0k points
12 votes
12 votes

Answer:


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)

User Ganesh Babu
by
2.9k points