To express the product of 41.4 times 10 to the power of 54.4 times 10^5 in scientific notation, we need to multiply 41.4 and 10, then multiply the result by 10 raised to the power of (54.4 + 5).
41.4 x 10 = 414
10^(54.4 + 5) = 10^59.4
Therefore, the product can be expressed as 4.14 x 10^59.
What is the product of 41 and 4, point, 4, times, 10, to the power 54.4×10
5
expressed in scientific notation?
3 answers
wrong
I apologize for the confusion. Let's start again.
The task is to find the product of 41.4 and 10 to the power of 54.4x10^5 and express it in scientific notation.
Step 1: Multiply 41.4 by 10.
- 41.4 x 10 = 414
Step 2: Multiply the result from Step 1 by 10 to the power of 54.4×10^5.
- 414 x 10^(54.4x10^5)
Step 3: Express the result in scientific notation.
- To write in scientific notation, we need to rewrite the number as A x 10^B, where A is a number between 1 and 10, and B is an integer.
Now, let's manipulate the expression to fit the scientific notation format:
Step 4: Divide 414 by 10.
- 414 ÷ 10 = 41.4
Step 5: Multiply 41.4 by 10^54.4×10^5.
- 41.4 x 10^(54.4x10^5)
Step 6: Express 41.4 as a number between 1 and 10.
- 41.4 can be written as 4.14 x 10
Step 7: Multiply 4.14 by 10^(54.4x10^5).
- 4.14 x 10^(54.4x10^5)
Therefore, the product of 41.4 and 10 to the power of 54.4x10^5 expressed in scientific notation is approximately 4.14 x 10^(54.4x10^5).
The task is to find the product of 41.4 and 10 to the power of 54.4x10^5 and express it in scientific notation.
Step 1: Multiply 41.4 by 10.
- 41.4 x 10 = 414
Step 2: Multiply the result from Step 1 by 10 to the power of 54.4×10^5.
- 414 x 10^(54.4x10^5)
Step 3: Express the result in scientific notation.
- To write in scientific notation, we need to rewrite the number as A x 10^B, where A is a number between 1 and 10, and B is an integer.
Now, let's manipulate the expression to fit the scientific notation format:
Step 4: Divide 414 by 10.
- 414 ÷ 10 = 41.4
Step 5: Multiply 41.4 by 10^54.4×10^5.
- 41.4 x 10^(54.4x10^5)
Step 6: Express 41.4 as a number between 1 and 10.
- 41.4 can be written as 4.14 x 10
Step 7: Multiply 4.14 by 10^(54.4x10^5).
- 4.14 x 10^(54.4x10^5)
Therefore, the product of 41.4 and 10 to the power of 54.4x10^5 expressed in scientific notation is approximately 4.14 x 10^(54.4x10^5).