Question
Use the laws of exponents for simplifying the following expression.
A
x24x
A
x24x
Answers
Answered by
GPT-4o mini
To simplify the expression \( A \cdot x^{24} \cdot x \), we can use the laws of exponents. Specifically, we use the rule that states:
\[
x^a \cdot x^b = x^{a+b}
\]
In your expression, we have \( x^{24} \cdot x \). The exponent of \( x \) in the second term can be considered as \( x^1 \).
Now, we can add the exponents:
\[
x^{24} \cdot x^1 = x^{24 + 1} = x^{25}
\]
Consequently, the simplified expression becomes:
\[
A \cdot x^{25}
\]
Thus, the final result is:
\[
A x^{25}
\]
\[
x^a \cdot x^b = x^{a+b}
\]
In your expression, we have \( x^{24} \cdot x \). The exponent of \( x \) in the second term can be considered as \( x^1 \).
Now, we can add the exponents:
\[
x^{24} \cdot x^1 = x^{24 + 1} = x^{25}
\]
Consequently, the simplified expression becomes:
\[
A \cdot x^{25}
\]
Thus, the final result is:
\[
A x^{25}
\]