To work out the expression 5.26x10^5 x 6.84x10^-4/1.8x10^-3 and give the answer in standard form, we can follow these steps:
1. Multiply the numbers: 5.26 x 6.84 = 35.9664.
2. Multiply the powers of 10: 10^5 x 10^-4 = 10^(5-4) = 10^1 = 10.
3. Divide the result from step 1 by the result from step 2: 35.9664 / 10 = 3.59664.
Now, let's deal with the denominator 1.8x10^-3. We can write it as 1/1.8x10^3.
4. Divide the result from step 3 by 1/1.8x10^3: 3.59664 / (1/1.8x10^3) = 3.59664 x 1.8x10^3 = 6473.952.
The final answer is 6473.952. To write it in standard form, we need to move the decimal point to the right, and adjust the exponent accordingly.
5. Move the decimal point 3 places to the right: 6473.952 becomes 6.473952 x 10^3.
So, in standard form, the expression 5.26x10^5 x 6.84x10^-4/1.8x10^-3 is equal to 6.473952 x 10^3.