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What is the value of (3^(2))^(3)?
What is the value of (3^(2))^(3)?
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Practice Questions
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Q1
What is the value of (3^(2))^(3)?
3^(5)
3^(6)
3^(7)
3^(8)
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Using the property (a^m)^n = a^(m*n), we have (3^(2))^(3) = 3^(2*3) = 3^(6).
Questions & Step-by-step Solutions
1 item
Q
Q: What is the value of (3^(2))^(3)?
Solution:
Using the property (a^m)^n = a^(m*n), we have (3^(2))^(3) = 3^(2*3) = 3^(6).
Steps: 5
Show Steps
Step 1: Identify the expression we need to solve, which is (3^(2))^(3).
Step 2: Recall the property of exponents that says (a^m)^n = a^(m*n).
Step 3: Apply this property to our expression: (3^(2))^(3) becomes 3^(2*3).
Step 4: Calculate the multiplication in the exponent: 2*3 = 6.
Step 5: Now we have 3^(6) as our simplified expression.
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