Simplify this expression using the Quotient Rule of Integer Exponents: t400t100 .(1 point) Responses t300 t superscript 300 baseline t500 t superscript 500 baseline t4 t superscript 4 baseline 300 300

Answer 1

To simplify the expression \( t^{400} \cdot t^{100} \) using the properties of exponents, you can apply the Product Rule of exponents, which states that when multiplying like bases, you add the exponents:

\[ t^{a} \cdot t^{b} = t^{a + b} \]

In this case, \( a = 400 \) and \( b = 100 \):

\[ t^{400} \cdot t^{100} = t^{400 + 100} = t^{500} \]

Thus, the simplified expression is:

\[ t^{500} \]

So the correct response is:

t superscript 500 baseline.

Answer 2

Simplify a67b34 .(1 point) Responses 23 23 a33 a superscript 33 baseline a67b34 Start Fraction a superscript 67 baseline over b superscript 34 baseline End Fraction ab33

Answer 3

To simplify the expression \( a^{67} b^{34} \), we analyze it based on the context provided. However, since there is no operation to perform (like addition, multiplication, or division) and the expression inherently consists of separate terms with no like terms to combine, if we are looking at simplifications or alternative forms, let's consider a few approaches.

1. The expression can remain as \( a^{67} b^{34} \).

2. If we were to express it in terms of division, we might consider it as:

   \[ \frac{a^{67}}{b^{34}} \quad \text{(however, this was not explicitly asked)} \]

3. Alternatively, the expression could potentially be evaluated for specific operations if guided, but based on the options provided:

It seems most likely that the correct choice from the given options would be:

• \( a^{67} b^{34} \), as it’s already in its simplified form.

So if the options you listed inherently include the expression itself as an option, that would be the final response. If you need clarification or a specific operation that should apply, feel free to specify!

Answer 4

JUST GIVE ME THE ANSWER!!!

Answer 5

The answer is:

\( a^{67} b^{34} \).