Question

Express (2.2*10⁶)⁻1/2 in scientific notation.

A) 4.55 * 10⁻7
B) 2.5 * 10⁻7
C) 1.5 * 10⁻7
D) 8.7 * 10⁻7

Answer 1

To express (2.2*10⁶)⁻¹/₂ in scientific notation, we need to find the reciprocal and square root separately. After simplification, the answer is 1.48 x 10⁻³.

Step-by-step explanation:

To express (2.2*10⁶)⁻¹/₂ in scientific notation, we can start by finding the reciprocal and square root separately. Taking the reciprocal of 2.2*10⁶, we get 1/(2.2*10⁶) which is equal to 1/2.2 * 1/(10⁶). The square root of 1/2.2 * 1/(10⁶) is equal to √(1/2.2) * 1/√(10⁶). Simplifying this expression, we get 1/√2.2 * 1/(10³).

Now, let's simplify further. √2.2 is approximately 1.48 and 1/(10³) is equal to 10⁻³. Therefore, the expression becomes 1.48 * 10⁻³. To write it in scientific notation, we can express 1.48 as 1.48 * 10⁰.

Combining the two parts, we have (1.48 * 10⁰) * 10⁻³, which simplifies to 1.48 * 10⁻³.