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QuestionMathematics

What is 1.5 to the third power? How do you calculate exponents with decimals?
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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