Algebraic Expressions and Simplification

This video tutorial explains the rules for adding and subtracting exponents, emphasizing that powers can only be combined if they are exactly the same. Through various examples, it demonstrates how to handle different and same powers, including cases with fractions. The video also covers evaluating expressions with exponents, providing a step-by-step approach to simplify and solve them.

What is the main condition for adding or subtracting powers?

• The exponents must be different.

• The bases must be the same, but exponents can differ.

• The bases must be different.

• The bases and exponents must be the same.

Why can't x^5 + x^2 be simplified to x^7?

• Because the terms are not like terms.

• Because the coefficients are different.

• Because the exponents are different.

• Because the bases are different.

In the expression x^6 + x^6, what is the simplified form?

• 2x^6

• x^3

• x^12

• x^6

What is the result of 3B^2 - 2B^2?

• 5B^2

• B

• B^2

• B^4

How can you make the powers the same in the expression 2/5 + 2/5?

• By changing the base.

• By adding an exponent of 2.

• By multiplying the fractions.

• By adding an exponent of 3.

What is 2^3 over 5^3 plus 2^3 over 5^3 simplified to?

• 2 * 2^3 over 5^3

• 2/5^3

• 4/5^3

• 2^3 over 5^3

What is the value of 2^3?

• 12

• 9

• 8

• 6

What is the value of 5^3?

• 150

• 125

• 100

• 25

What is the simplified form of 16 over 125?

• Cannot be simplified further

• 4/25

• 8/125

• 16/125

What is the result of multiplying the numerators in the expression 2 * 8 over 1 * 25?

• 32

• 8

• 25

• 16