TBR log question

[unDRdog]

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Ok...i believe my quetion is independent of passage context, but for those interested...Chem book 1, Ch 4 , ?# 34: It states that the pH of the solution is 3.7, so the [H3O+] is 10^-3.7 = 10^0.3 x 10-4. Ok...how is 10^-3.7 equal to 10^0.3 x 10-4...well thats it, hope some one has an explination...thanks

 

[capn jazz]

Remember, multiplying same-base exponents means you ADD the exponent:

(2^4)(2^6) = 2^10
(10^-4)(10^.3) = 10^(-4 + .3) = 10^-3.7

 

[unDRdog]

Remember, multiplying same-base exponents means you ADD the exponent:

(2^4)(2^6) = 2^10
(10^-4)(10^.3) = 10^(-4 + .3) = 10^-3.7

What would i ever do w/o you...