Question

Which statement is correct?

A) 3.56x10²/ 1.09x10⁴ equal or less than< (4.08x10²)(1.95x10⁻⁶)
B) 3.56x10²/ 1.09x10⁴ < less than (4.08x10²)(1.95x10⁻⁶)
C) 3.56x10²/ 1.09x10⁴ > more than (4.08x10²)(1.95x10⁻⁶)
D) 3.56x10²/ 1.09x10⁴ = equal (4.08x10²)(1.95x10⁻⁶)

Answer 1

After simplifying both expressions, 3.56x10² / 1.09x10⁴ equates to 3.266 x 10⁻² and (4.08x10²)(1.95x10⁻⁶) equates to 7.956 x 10⁻⁴. Since the first expression has a higher exponent than the second, it is consequently the larger number. Hence, the correct option is C) 3.56x10² / 1.09x10⁴ > more than (4.08x10²)(1.95x10⁻⁶).

Step-by-step explanation:

To determine which statement is correct, we need to compare the two given expressions: 3.56x10² / 1.09x10⁴ and (4.08x10²)(1.95x10⁻⁶).

To compare these expressions, let's simplify them:

• The first expression, 3.56x10² / 1.09x10⁴, simplifies to (3.56 / 1.09) x 10²⁴ = 3.266 x 10⁻².
• The second expression, (4.08x10²)(1.95x10⁻⁶), simplifies to 4.08 x 1.95 x 10²(-6) = 7.956 x 10⁻⁴.

Now, we can compare these simplified results directly. The first expression results in a number with an exponent of -2, and the second expression has an exponent of -4. Since an exponent of -2 indicates a larger number than an exponent of -4, the first expression is greater.

Therefore, the correct statement is:

C) 3.56x10² / 1.09x10⁴ > more than (4.08x10²)(1.95x10⁻⁶).