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.