How to do you Put in scientific notation (400)*(3000)
Solve a^m*a^g
please help I do not understand!!!:(
The second:
a^m * a^g= a^(m+g)
exponents add when multiplying.
The first
4*10^2 * 3*10^3=12*10^5= 1.2 * 10^6
Thank you soooo much
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To put the expression (400)*(3000) in scientific notation, you need to multiply the two numbers and adjust the decimal point.
First, multiply the numbers:
400 * 3000 = 1,200,000
Next, adjust the decimal point to have only one digit before it:
1.2
To denote this in scientific notation, move the decimal point to the right 6 times and multiply the result by 10^6:
1.2 * 10^6
Therefore, (400)*(3000) in scientific notation is 1.2 * 10^6.
Now, let's solve the expression a^m * a^g.
The rule for multiplying exponential expressions with the same base is to add the exponents.
So, for the expression a^m * a^g, you would add the exponents of 'a' which are 'm' and 'g'.
The final result would be a^(m+g).
For example, if 'a' was 2, and 'm' was 3 and 'g' was 5, the expression would be:
2^3 * 2^5 = 2^(3 + 5) = 2^8.
Therefore, to solve a^m * a^g, you need to add the exponents of 'a' and the result would be a^(m+g).