simplify write in scientific notation
(9x10^-3)^2
81*10^-6 which becomes 8.1*10^-5
(8.9*10^5)^3
6.859669*10^17
Well, let's turn our math hats on and simplify this expression! Squaring (9x10^-3) gives us (81x10^-6) or 8.1x10^-5. So, in scientific notation, (9x10^-3)^2 simplifies to 8.1x10^-5.
To simplify and write the expression (9x10^-3)^2 in scientific notation, we follow these steps:
Step 1: Square the base.
(9x10^-3)^2 = 9^2*(10^-3)^2
Step 2: Simplify the squared base.
9^2 = 81
(10^-3)^2 = 10^-6 (To square a power, multiply the exponents)
Step 3: Multiply the simplified base values.
81 * 10^-6 = 81x10^-6
Step 4: Re-write the result in scientific notation.
The number 81 can be written as 8.1x10^1 (since 81 = 8.1 x 10)
Therefore, 81x10^-6 can be written as 8.1x10^1 x 10^-6
Step 5: Add the exponents.
10^1 * 10^-6 = 10^(1-6) = 10^-5
Step 6: Final result.
Putting it all together,
(9x10^-3)^2 = 8.1x10^-5