Question

2 x 10-^6 times what number is equal to 6 x 10-^4

Answer 1

To find the number that, when multiplied by 2 × 10⁻⁶, equals 6 × 10⁻⁴, you can set up an equation. The number is 3 × 10², which is equivalent to 300. Therefore, 2 × 10⁻⁶ times 300 equals 6 × 10⁻⁴.

Step-by-step explanation:

To find the number that, when multiplied by 2 × 10⁻⁶, equals 6 × 10⁻⁴, you can set up an equation. Let x be the unknown number:

2 × 10⁻⁶ × x = 6 × 10⁻⁴

Now, solve for x. Divide both sides by 2 × 10⁻⁶:

x =
`(6 * 10^(-4))/(2 * 10^(-6))`

When you divide numbers with the same base, subtract the exponents:

x =
`(6)/(2) * 10^(-4 - (-6))`

Simplify the fraction:

x = 3 × 10²

Therefore, 3 × 10² is the number you're looking for. The number is 3 × 10², which is equivalent to 300.