2*3 = 6, and 10^(-3) * 10^(-2) = 10^(-5) as the exponents are added, so the product is as stated above.
Live long and prosper.
Please note: since quantities like 10-3 are at best ambiguous, there is a standard way of representing exponents in computer text --- see above. Use the '^' symbol (above '6' on your keyboard), and also delimit any exponent more complicated than a single digit by parentheses. These two techniques will increase the clarity of your mathematical expressions.
First, the parentheses tell you that the two numbers are to be multiplied together, so you multiply the two integers and get 6 (2x3=6). Since you are multiplying the two bases together, you must add their exponents (one of those yucky rules you'll have to remember), which equals -5 (-3+-2=-5). Next, you write down the 6 and move your decimal place 5 places to the left since the exponent is negative and you are using a base of 10, which makes your first answer the correct one.
Comments
The answer is 6 x 10^(-5) = 0.00006
This is obtained as follows:
2*3 = 6, and 10^(-3) * 10^(-2) = 10^(-5) as the exponents are added, so the product is as stated above.
Live long and prosper.
Please note: since quantities like 10-3 are at best ambiguous, there is a standard way of representing exponents in computer text --- see above. Use the '^' symbol (above '6' on your keyboard), and also delimit any exponent more complicated than a single digit by parentheses. These two techniques will increase the clarity of your mathematical expressions.
Multiply the numbers 2 and 3 in the normal way to get 6.
Add the powers of 10: (-3) + (-2) = -5 to get the power of 10 for the result.
The result is 6 10^(-5).
That means 6.0 with the decimal point moved left 5 places, yielding 4 zeros before the 6:
0.00006.
First, the parentheses tell you that the two numbers are to be multiplied together, so you multiply the two integers and get 6 (2x3=6). Since you are multiplying the two bases together, you must add their exponents (one of those yucky rules you'll have to remember), which equals -5 (-3+-2=-5). Next, you write down the 6 and move your decimal place 5 places to the left since the exponent is negative and you are using a base of 10, which makes your first answer the correct one.
The answer is 6 * 10-5
You multiply the 2 and 3
Then you add the exponents
Multiply the 2 and the 3 and get 6
multiply 10^-3 and 10^-2 and get 10^-5
the answer is 6 x 10^-5 or .00006