(x^3)^-5
A. 1/x^15
B. x^15
C. x^8
D. 1/x^8
I'm probably writing something wrong because I haven't gotten any one of these answers.. Can someone explain?
(x^3)^-5 = x^(-5*3) = x^-15 = 1/x^15
or
(x^3)^-5 = 1/(x^3)^5 = 1/x^15
Ohhh, I see now.
Thank you! :)
To simplify the expression (x^3)^-5, we use the rule for raising a power to a power, which states that when you raise an exponent to another exponent, you multiply the exponents.
In this case, we have (x^3)^-5. To calculate this, we multiply the exponents:
3 * -5 = -15
So, (x^3)^-5 simplifies to x^-15.
Now, when we have a negative exponent, we can rewrite it as a positive exponent by taking the reciprocal of the base. So, x^-15 can be written as 1/x^15.
Therefore, the correct answer is A. 1/x^15.