[Higher] Simplify the following expressions: x^7 X x ^5 and (x^-2)^-3

For the first part, when we are multiplying a number of two different powers (here being 7 and 5), we must add the powers in order to simplify the expression. So here x⁷ * x⁵ = x⁽⁷⁺⁵⁾ = x¹², which is the final answer as 7 + 5 = 12.For the second part, when we have a number raised to a certain power and then raised again to another power (here being -2 and -3 respectively), we must multiply the powers in order to simplify the expression. So here (x^-2)^-3 = x^(-2*-3)= x⁶, which is the final answer as -2 * -3 = 6.