Question

question
select the equivalent expression.
\\(\frac{x^6 \cdot x^4}{x^7}\\)
answer
\\(\frac{1}{x^3}\\) \\(x^3\\) \\(x^5\\) \\(\frac{1}{x^5}\\)

Explanation:

Step1: Apply exponent rule for multiplication

When multiplying exponents with the same base, we add the exponents. So \( x^6 \cdot x^4 = x^{6 + 4} = x^{10} \).

Step2: Apply exponent rule for division

When dividing exponents with the same base, we subtract the exponents. So \( \frac{x^{10}}{x^7} = x^{10 - 7} = x^3 \).

Answer:

\( x^3 \) (the option with \( x^3 \))