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If a^m * a^n = a^p, what is the value of p?
Practice Questions
Q1
If a^m * a^n = a^p, what is the value of p?
m + n
m - n
m * n
m / n
Questions & Step-by-Step Solutions
If a^m * a^n = a^p, what is the value of p?
Steps
Concepts
Step 1: Identify the expression a^m * a^n. Here, 'a' is the base and 'm' and 'n' are the exponents.
Step 2: Recall the rule of exponents that states when you multiply two expressions with the same base, you add the exponents.
Step 3: Apply the rule: a^m * a^n = a^(m + n).
Step 4: This means that p, which is the exponent in a^p, is equal to m + n.
Step 5: Therefore, the value of p is m + n.
Laws of Exponents
– When multiplying powers with the same base, the exponents are added together.
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