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2 find the missing exponent: $p^{2} \\cdot p^{0} \\cdot p^{3} \\cdot p^…

Question

2
find the missing exponent: $p^{2} \cdot p^{0} \cdot p^{3} \cdot p^{\square} = p^{9}$

Explanation:

Step1: Recall exponent product rule

When multiplying terms with the same base, add exponents: $p^a \cdot p^b = p^{a+b}$

Step2: Set up exponent equation

Let the missing exponent be $x$. Then:
$2 + 0 + 3 + x = 9$

Step3: Simplify and solve for $x$

Calculate sum of known exponents: $2+0+3=5$
Solve $5 + x = 9$, so $x = 9 - 5$

Answer:

$4$