Write in Scientific Notation
1. (3X10to the tenth) (7X10to the -4th)
2. (5X10to the 4th)to the second
Thanks so much!
1.
3 * 10^4 * 7 * 10^-4
7*3 = 21
10^4 * 10^-4 = 10^0 = 1
21 * 1 = 21
2.1 * 10^1
2. (5*10^4)^2=
25 * 10^8 = 2.5 * 10^9
it needs to be written in scientific notation.
woops for the first I looked at it wrong...
3 * 10^10 xs 7 x 10^-4
= 21 x 10^6
= 2.1 x 10^7
And ma'm, I believe it is written in scientific notation...
Thanks
1. To write the expression (3 × 10^10) (7 × 10^-4) in scientific notation, we can multiply the numeric coefficients (3 and 7) and add the exponents of the powers of 10.
First, multiply the coefficients: 3 × 7 = 21.
Next, add the exponents: 10 + (-4) = 6.
So, the expression (3 × 10^10) (7 × 10^-4) can be written as 21 × 10^6 in scientific notation.
2. To write the expression (5 × 10^4)^2 in scientific notation, we can raise the coefficient (5) to the power of 2 and multiply the exponents of the powers of 10.
First, raise the coefficient to the power of 2: 5^2 = 25.
Next, multiply the exponents: 4 × 2 = 8.
So, the expression (5 × 10^4)^2 can be written as 25 × 10^8 in scientific notation.