Question

(x^7)^2/(x^2)^5

simplify

Answer 1

When we raise a power to another power, we multiply the exponents. Therefore, (x^7)^2 becomes x^(7*2) = x^14. Similarly, (x^2)^5 becomes x^(2*5) = x^10.

So, the expression becomes x^14/x^10.

When we divide two powers with the same base, we subtract the exponents. Therefore, x^14/x^10 becomes x^(14-10) = x^4.

Thus, the simplified expression is x^4.