Exponent Rules W/ Like Bases For Multiplication

Question 1

What’s the difference between -5 to the second power and (-5) to the second power?

Answer 1

In the first one only the base has the exponent on it and the negative sign is just added on at the end, for the second one (according to PEMDAS) you must do what is in the parenthesis first which leaves with them both have the exponent

Question 2

Solve:

5 to the second power • 3 to the eighth power

Answer 2

You can’t do it because it must have like bases

Question 3

What is the identity hidden behind

8 to the negative 2nd power?

Answer 3

1/8 to the 2nd power

Question 4

Solve:

1. )5 to the 5th power•5 to the 1st powe
   2) 5x to the 6th power •5x to the 2nd power

Answer 4

1. ) 5 to the 6th power

2) 25x to the eighth power

Question 5

Solve:

2 to the 5th power•6 to the 0th power

Answer 5

2 to the 5th power

Anything to the power of zero is one.

Question 6

What are the basic rules for multiplying exponents with like bases?

Answer 6

1. keep the base

2. Add the exponent