Respuesta :

When multiplying like terms, you add the exponents:

b^5 · b^4 = b^(5+4) = b^9

FYI - when dividing like terms, subtract the exponents.

The only time we multiply exponents is when they distribute across parentheses:
(x³)² = x^6
carlosego

For this case we have the following expression:

[tex]b ^ 5b ^ 4[/tex]

We must consider the following property of the exponents.

  • In multiplication, when we have the same base, the exponents are added.

Rewriting the given expression we have:

[tex]b ^ 5b ^ 4 = b ^ {(5 + 4)}\\b ^ 5b ^ 4 = b ^ 9[/tex]

Answer:

the correct simplification of the expression is:

[tex]b ^ 5b ^ 4 = b ^ 9[/tex]