Question

Rewrite the expression in the form 3n

34.3² = 1

Options:
A. 0.098
B. 0.087
C. 0.097
D. 0.096

Answer 1

To rewrite the expression 3n34.3² = 1 in the form 3n34.3² = 0.097, cube the digit term 3 and multiply the exponent of the exponential term 4 by 3. The result is 0.097 (option C).

Step-by-step explanation:

To rewrite the expression 3n34.3² = 1 in the form 3n34.3² = 0.097, we need to multiply the exponent of the exponential term by 3 and calculate the result of the cube of the digit term. Here's how:

1. Start with the digit term 3.
2. Cube the digit term: 3³ = 27.
3. Multiply the exponent of the exponential term by 3: 4 x 3 = 12.
4. Combine the digit term and the exponential term: 27 x 10¹² = 27,000,000,000,000.
5. Finally, express the result in decimal form: 27,000,000,000,000 in decimal form is 0.097.