Question

simplify.
\\(\frac{y^{7}}{y^{3}}\\)

Explanation:

Step1: Recall exponent rule for division

When dividing exponents with the same base, we use the rule \( \frac{a^m}{a^n}=a^{m - n} \), where \( a=y \), \( m = 7 \), and \( n=3 \).

Step2: Apply the rule

Substitute the values into the rule: \( \frac{y^7}{y^3}=y^{7 - 3} \)

Step3: Simplify the exponent

Calculate \( 7-3 = 4 \), so we get \( y^4 \).

Answer:

\( y^4 \)