How to simplify?
(r^2 s)^5
r^10 s^5
How did you get that answer?
To simplify the expression (r^2 s)^5, we need to apply the exponentiation rule. According to this rule, when a power is raised to another power, we need to multiply the exponents.
In this case, the exponent 5 is being applied to the entire expression (r^2 s). To simplify, we will raise both r^2 and s to the power of 5.
First, let's simplify r^2 raised to the 5th power. To do this, we multiply the exponents:
(r^2)^5 = r^(2 * 5) = r^10.
Next, let's simplify s raised to the 5th power:
s^5.
By applying the exponentiation rule, we have (r^2 s)^5 = r^10 s^5. This is the simplified expression.