Question

Exponents and exponential functions power rules with positive exponents: multivariate simplify. (-2x^(2)y^(4))^(5) write your answer without parentheses.

Answer 1

To simplify the expression (-2x^(2)y^(4))^(5) without parentheses, apply the power rule for exponents by multiplying the exponents together.

Step-by-step explanation:

To simplify the expression (-2x2y4)5 without parentheses, we need to apply the power rule for exponents. The rule states that when a base with an exponent is raised to another exponent, we multiply the exponents together. In this case, -2 raised to the power of 5 becomes (-2)5 = -32, x2 raised to the power of 5 becomes (x2)5 = x10, and y4 raised to the power of 5 becomes (y4)5 = y20.