Question

Simplify. Express your answer using positive exponents. (t⁰u⁸*t⁶⁰u⁻⁹)/(t⁰u⁻²¹)

Answer 1

To simplify the given expression, we can divide the numerator and denominator and then subtract the exponents. The final answer is u²⁹.

Step-by-step explanation:

To simplify (t⁰u⁸*t⁶⁰u⁻⁹)/(t⁰u⁻²¹), we can apply the rule of dividing exponentiated quantities. In this case, we divide the digit term of the numerator by the digit term of the denominator and subtract the exponents of the exponential terms. So the simplified expression is t⁰u⁸ * t⁶⁰u⁻⁹ / t⁰u⁻²¹. Now, let's simplify the exponents:

1. For the u terms, subtract the exponents: 8 - (-21) = 29. This gives us t⁰u²⁹.
2. For the t terms, subtract the exponents: 0 - 0 = 0. This gives us t⁰u²⁹.

Therefore, the simplified expression is t⁰u²⁹. Expressing it with positive exponents, the final answer is u²⁹.