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The value of (x^2)^3 is equal to?
The value of (x^2)^3 is equal to?
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Practice Questions
1 question
Q1
The value of (x^2)^3 is equal to?
x^5
x^6
x^7
x^8
Show Solution
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Using the power of a power property, (a^m)^n = a^(m*n), we get (x^2)^3 = x^(2*3) = x^6.
Questions & Step-by-step Solutions
1 item
Q
Q: The value of (x^2)^3 is equal to?
Solution:
Using the power of a power property, (a^m)^n = a^(m*n), we get (x^2)^3 = x^(2*3) = x^6.
Steps: 6
Show Steps
Step 1: Identify the expression we need to simplify, which is (x^2)^3.
Step 2: Recall the power of a power property, which states that (a^m)^n = a^(m*n).
Step 3: In our case, a is x, m is 2, and n is 3.
Step 4: Apply the property: (x^2)^3 becomes x^(2*3).
Step 5: Calculate the exponent: 2*3 equals 6.
Step 6: Write the final result: (x^2)^3 = x^6.
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