Question

Simplify the expression and write your answer using only positive exponents: (2x⁶y⁴)/(4y²)

a) x⁴/2
b) x⁴y²
c) (1/2)x⁴y²
d) (1/2)x⁴

Answer 1

To simplify the expression (2x⁶y⁴)/(4y²) and write the answer using only positive exponents, divide the coefficients and subtract the exponents of the variables. The simplified expression is (1/2)x⁶y².

Step-by-step explanation:

To simplify the expression (2x⁶y⁴)/(4y²) and write the answer using only positive exponents, we can divide the coefficients and subtract the exponents of the variables.

Dividing 2 by 4 gives us 1/2.

Subtracting the exponent of 'y', which is 2, from the exponent of 'y' in the numerator, which is 4, gives us y².

Therefore, the simplified expression is (1/2)x⁶y², which is option c.