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If a^m * a^n = a^p, what is the value of p?
If a^m * a^n = a^p, what is the value of p?
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Practice Questions
1 question
Q1
If a^m * a^n = a^p, what is the value of p?
m + n
m - n
m * n
m / n
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According to the laws of exponents, when multiplying like bases, we add the exponents: p = m + n.
Questions & Step-by-step Solutions
1 item
Q
Q: If a^m * a^n = a^p, what is the value of p?
Solution:
According to the laws of exponents, when multiplying like bases, we add the exponents: p = m + n.
Steps: 5
Show Steps
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.
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