Find the Domain 3t^6*(8t^-6)

Problem

3*t6*(8*t(−6))

Solution

1. Rewrite the expression using positive exponents to identify potential restrictions on the variable.

3*t6⋅8/(t6)

2. Simplify the expression by multiplying the terms.

(24*t6)/(t6)

3. Identify the denominator of the expression.

Denominator=t6

4. Determine the values that make the denominator zero, as division by zero is undefined.

t6=0

t=0

5. Exclude the value t=0 from the set of all real numbers to find the domain.

{t|t≠0}

Final Answer

Domain: *(−∞,0)∪(0,∞)

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