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If a^3 = 27, what is the value of a?
Practice Questions
Q1
If a^3 = 27, what is the value of a?
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Questions & Step-by-Step Solutions
If a^3 = 27, what is the value of a?
Steps
Concepts
Step 1: Start with the equation a^3 = 27.
Step 2: Recognize that 27 can be written as 3^3 (because 3 multiplied by itself three times equals 27).
Step 3: Now we can rewrite the equation as a^3 = 3^3.
Step 4: Since the bases are the same (both are cubed), we can set the exponents equal to each other: a = 3.
Step 5: Therefore, the value of a is 3.
Exponents and Roots
– Understanding how to manipulate and solve equations involving exponents.
Cube Roots
– Recognizing that finding the cube root of a number is the inverse operation of cubing that number.
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