Question

Simplify The Expression. 12/c^-8d^2

Answer 1

The expression 12/c^-8d^2 is simplified by converting c^-8 to its reciprocal 1/c^8 and then combining it with the rest of the expression, resulting in 12/c^8d^2.

Step-by-step explanation:

To simplify the expression 12/c^-8d^2, we need to manipulate the expression using the rules of exponents. Specifically, when you have a negative exponent, you can rewrite it as the reciprocal of the base with a positive exponent. Here is how you can perform the simplification:

• First, express the negative exponent as a reciprocal: c^-8 becomes 1/c^8.
• Next, combine the reciprocal with the rest of the expression: 12 × 1/c^8d^2.
• Finally, as there are no similar bases with exponents to further simplify, the expression is simplified to 12/c^8d^2.

This simplification uses the Division of Exponentials rule which states that when dividing exponential terms with the same base, you subtract the exponents. However, since there's no c term in the numerator, we only apply the negative exponent rule.

Answer 2

If you're going to write negative exponents, please enclose them inside parentheses:

12 / c^(-8)
12 8d^2
12/c^-8d^2 becomes --------- - ---------
c^8 1

Here the LCD is c^8, so the above expression becomes:

12 c^8*d^2 12-(c^8)(d^2)
------- - ------------- = ---------------------
c^8 c^8 c^8