SOLUTION: Multiply and write scientific notation for the result: (7.1 ×〖10〗^(-7) )(8.6 ×〖10〗^(-5))

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Multiply and write scientific notation for the result: (7.1 ×〖10〗^(-7) )(8.6 ×〖10〗^(-5))       Log On


   

Question 476548: Multiply and write scientific notation for the result:
(7.1 ×〖10〗^(-7) )(8.6 ×〖10〗^(-5))
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
your equation is:
%287.1%2A10%5E%28-7%29%29%2A%288.6%2A10%5E%28-5%29%29
this is equivalent to:
%287.1%29%2A%288.6%29%2A%2810%5E%28-7%29%29%2A%2810%5E%28-5%29%29
since %28b%5Ea%29%2A%28b%2Ac%29+=+b%5E%28a%2Bc%29, this becomes:
61.06+%2A+10%5E%28%28-7%29%2B%28-5%29%29 which becomes:
61.06+%2A+10%5E%28-12%29
this is equivalent to:
6.106+%2A+10%5E%28-11%29 in strict scientific notation where you have 1 digit to the left of the decimal point and the rest of the digits to the right of it.
since 6.106+%2A+10%5E1 is equivalent to 61.06, then your expression became:
6.106+%2A+10%5E1+%2A+10%5E%28-12%29
since b%5Ea+%2A+b%5Eb+=+b%5E%28a%2Bb%29, this became:
6.106+%2A+10%5E%281+%2B+%28-12%29%29 which equals:
6.106+%2A+10%5E%28-11%29