Simplify the expression. Assume all variables represent
nonzero real numbers
(x^5)^-10
all you can get is
x^-50 or 1/x^50
To simplify the expression (x^5)^-10, we need to apply the rule of exponentiation. According to the rule, when a power is raised to another power, we multiply the exponents.
So, in this case, we need to multiply the exponents 5 and -10:
(x^5)^-10 = x^(5 * -10)
Multiplying 5 and -10, we get -50:
(x^5)^-10 = x^(-50)
Therefore, the simplified expression is x^(-50).
To simplify the expression (x^5)^-10, we need to use the rule of exponents which states that (a^m)^n is equal to a^(m*n).
In this case, we have (x^5)^-10. Applying the rule of exponents, we multiply the exponents 5 and -10 to get -50.
Therefore, (x^5)^-10 simplifies to x^(-50).