Question

simplify.
rewrite the expression in the form $y^n$.
$y^{-4} \cdot y^3 = \square$

Explanation:

Step1: Recall exponent rule

When multiplying exponents with the same base, we use the rule \(a^m \cdot a^n = a^{m + n}\). Here, the base is \(y\), \(m=-4\) and \(n = 3\).

Step2: Apply the rule

Substitute the values into the rule: \(y^{-4}\cdot y^{3}=y^{-4 + 3}\).

Step3: Simplify the exponent

Calculate \(-4+3=-1\), so the expression becomes \(y^{-1}\).

Answer:

\(y^{-1}\)