Question
Simplify x^675 divide by x^453
Answers
GPT-4o mini
To simplify the expression \( \frac{x^{675}}{x^{453}} \), you can use the properties of exponents. Specifically, when dividing like bases, you subtract the exponents:
\[
\frac{x^a}{x^b} = x^{a-b}
\]
In this case, you have:
\[
\frac{x^{675}}{x^{453}} = x^{675 - 453}
\]
Now, perform the subtraction:
\[
675 - 453 = 222
\]
Therefore, the simplified expression is:
\[
x^{222}
\]
\[
\frac{x^a}{x^b} = x^{a-b}
\]
In this case, you have:
\[
\frac{x^{675}}{x^{453}} = x^{675 - 453}
\]
Now, perform the subtraction:
\[
675 - 453 = 222
\]
Therefore, the simplified expression is:
\[
x^{222}
\]