Exponential Expressions

1: Simplify the expression “2xp over 6x squared” raised to the power of 3.

2: Simplify “(2 to the power of -2) raised to the power of 2x +1”.

3: Simplify “2 to the power of 2n times 4 to the power of n times 2 over 16 to the power of n”.

4: Simplify “5 to the power of 2x – 1 times 9 to the power of x – 2 over 15 to the power of 2x – 3”.

5: Simplify “2 to the power of t – 2 to the power of t – 2 over 3 times 2 to the power of t minus 2 to the power of t”.

6: What rule allows us to simplify expressions like “2xp over 6x squared” raised to the power of 3?

7: In Example 2, why do we break down 9 into 3 squared in the numerator?

8: What happens to the terms with the same bases when dividing exponents?

9: In Example 3, what is the common factor taken out from the terms in the numerator?

10: What is the final result obtained in Example 3?