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If a = 3^(1/2), what is a^4?
If a = 3^(1/2), what is a^4?
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Q1
If a = 3^(1/2), what is a^4?
9
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a^4 = (3^(1/2))^4 = 3^2 = 9.
Questions & Step-by-step Solutions
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Q
Q: If a = 3^(1/2), what is a^4?
Solution:
a^4 = (3^(1/2))^4 = 3^2 = 9.
Steps: 7
Show Steps
Step 1: Start with the value of a, which is a = 3^(1/2).
Step 2: To find a^4, we need to calculate (3^(1/2))^4.
Step 3: Use the power of a power rule, which says (x^m)^n = x^(m*n).
Step 4: Apply the rule: (3^(1/2))^4 = 3^((1/2)*4).
Step 5: Calculate (1/2)*4, which equals 2.
Step 6: Now we have 3^2.
Step 7: Calculate 3^2, which is 3 * 3 = 9.
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