Question

Express 4/x² in exponent form.
A) 4x⁻³
B) x ³ /4
C) 4x³
D) x −3⁻³ /4

Answer 1

To express 4/x² in exponent form, it is rewritten with a negative exponent as 4x⁻², which follows from the rule that negative exponents flip the fraction to the denominator.

Step-by-step explanation:

Expressing 4/x² in exponent form involves applying our understanding of negative exponents. In mathematics, negative exponents denote division. According to the rules of exponents, specifically as shown in Eq. A.9, a negative exponent flips the fraction to the denominator. Therefore, the expression 4/x² can be rewritten with a negative exponent as 4x⁻². Remember that when dealing with exponents, all the parts inside the parentheses are affected by the exponent, including any coefficients.