How do you multiply (4.7 x 10^-8) (7.6 x 10^3)(4.7x10−8)(7.6x103)?

1 Answer
Gió
Apr 12, 2015

You can first multiply 4.7xx7.6=35.724.7×7.6=35.72 and then deal with the powers of ten remembering that a^m*a^m=a^(m+n)am⋅am=am+n;
10^(-8)*10^3=10^(-8+3)=10^(-5)10−8⋅103=10−8+3=10−5
So you get:
35.72xx10^(-5)35.72×10−5 rearranged to have:
3.572xx10^(-4)3.572×10−4 by moving the decimal point to the left and changing, as a consequence, the exponent of 1010 of 1 unit.

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