Question

Express 10^-4 in fraction form:

a) -1/40,000
b) 1/40,000
c) -1/10,000
d) 1/10,000

Answer 1

The expression 10^-4 in fraction form is 1/10,000, using the definition of negative exponents.

Step-by-step explanation:

The question 'Express 10^-4 in fraction form' relates to scientific notation and expressing powers of 10 as fractions. To convert a negative exponent into fractional form, you can use the definition of negative exponents, which means that 10^-4 is the same as 1 divided by 10 raised to the 4th power, or 1/10^4. Therefore, 10^-4 can be expressed as the fraction 1/10,000, since 10^4 is 10,000.

The correct answer is d) 1/10,000.