Question

Which expression is equivalent to 28p^9q^(-5), assuming p and q cannot be 0?

a. 2/p^15q^12
b. 7p^15/3q^12
c. 2q^12/p^15
d. 7p^15q^12/3

Answer 1

None of the provided options (a through d) are equivalent to the expression 28p^9q^(-5), as they cannot be transformed into the original expression using the standard rules of exponents.

Step-by-step explanation:

The expression 28p^9q^(-5) is not directly equivalent to any of the options provided (a through d), as none of the options match the original expression when simplified. To find an equivalent expression, if possible, we would typically manipulate the given expression using the rules of exponents.
However, using the standard rules of exponents, none of the provided options can be transformed into the expression 28p^9q^(-5). It is important to remember that when working with exponents, the powers of the same base can be added when multiplying (as per the rule x^p * x^q = x^(p+q)) and subtracted when dividing. Negative exponents represent the reciprocal of the base raised to the corresponding positive exponent (x^(-n) = 1/x^n).