What is the product of 73 and 4, point, 4, times, 10, to the power 64.4×10
6
expressed in scientific notation?
To express the product of 73 and 4.4 times 10 to the power of 64.4 multiplied by 10 to the power of 6 in scientific notation, follow these steps:
Step 1: Multiply 73 and 4.4.
73 * 4.4 = 321.2
Step 2: Add the exponents of the two 10 terms.
64.4 + 6 = 70.4
Step 3: Rewrite the result in scientific notation.
321.2 * 10^70.4
Therefore, the product of 73 and 4.4 times 10 to the power of 64.4 multiplied by 10 to the power of 6 expressed in scientific notation is approximately 3.212 * 10^72.
To find the product of 73.4 times 10 to the power of 64.4x10^6, expressed in scientific notation, follow these steps:
1. Multiply 73.4 by 10, which gives you 734.
2. Raise 10 to the power of 64.4x10^6. In scientific notation, this means moving the decimal point to the right by 64,400,000 places.
So, the result of raising 10 to the power of 64.4x10^6 is a number with a 1 followed by 64,400,000 zeros.
3. Multiply 734 by the result from step 2.
The product of 73.4 times 10 to the power of 64.4x10^6 is 734 multiplied by a 1 followed by 64,400,000 zeros.
However, it is worth noting that expressing such a large number in scientific notation can result in an unwieldy representation.
To express the product of 73 and 4.4 times 10 to the power of 64.4×10^6 in scientific notation, we need to move the decimal point to the right until there is only one non-zero digit to the left of the decimal point.
First, we will simplify the expression by multiplying the numbers:
73 × 4.4 = 321.2
Next, we will multiply this result by 10 to the power of 64.4×10^6:
321.2 × 10^64.4×10^6
When we multiply a number by 10 raised to a certain power, we move the decimal point to the right by that many places. So, we need to move the decimal point 64.4×10^6 places to the right.
The final expression in scientific notation is:
3.212 × 10^64.4×10^6