Simplify: (3^(2)*3^(-1))/(5^(-2)*2^(0))
Adam wrote: (3^(-2)*5^(2))/(2)
Nick wrote: 3*5^(2)
Shane wrote: (3^(-3))/(5^(2))
Who was correct and why?
(1 point)
A None of these are correct because the students did not add the exponents in the numerator and then subtract exponents since there is division.
B Nick is correct because the negative exponent in the numerator can combine with the like base and the denominator negative exponent goes to the numerator.
C Adam is correct because the negative exponent combines with the base and the denominator moves to the numerator.
D Shane is correct because all that needs to be done is to make the negative exponents positive.
1 answer
The correct answer is B. Nick is correct because the negative exponent in the numerator can combine with the like base and the negative exponent in the denominator goes to the numerator. This simplifies to 3 * 5^2, which is the simplest form of the expression.
1 answer