QQuestionMathematics
QuestionMathematics
What is 1.5 to the third power?
How do you calculate exponents with decimals?
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Answer
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Step 1:I'll solve this problem step by step, following the specified LaTeX formatting guidelines:
Step 2:: Understand the Exponentiation
To calculate $$1.5^{3}$$, we need to multiply 1.5 by itself three times.
Step 3:: Perform the Multiplication
1.5^{3} = 1.5 \times 1.5 \times 1.5
Step 4:: Calculate the Result
1.5^{3} = 2.25 \times 1.5 = 3.375
Explanation of Calculating Exponents with Decimals: - Exponents with decimals work the same way as whole number exponents - Multiply the base number by itself the number of times specified by the exponent - Use standard multiplication rules - Maintain the correct number of decimal places in the calculation
Final Answer
Key Insights: - Decimal exponents follow the same fundamental rules as integer exponents - Carefully track decimal places during multiplication - The process is straightforward: multiply the base number by itself the specified number of times
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