Question

Simplify: 2(f^4)^2 f^2 ÷ 8f^12
Your answer should contain only positive exponents.

Answer 1

To simplify the expression 2(f^4)² f² ÷ 8f¹² with positive exponents, apply the power of a power rule and combine like terms.

Step-by-step explanation:

To simplify the expression 2(f⁴)^2 f² ÷ 8f¹² with positive exponents, we can start by applying the power of a power rule. This rule states that (a^m)^n is equal to a^(m*n).

Using this rule, we can simplify (f^4)² to f⁸.

Next, we can combine the f⁸ with the f² to get f^10.

Then, we can simplify 8f¹² to 8 * (f¹²), which is 8f¹².

Finally, we can divide f¹⁰ by 8f¹² to get 1/(8f²). Therefore, the simplified expression is 1/(8f²).