What's 1 trillion raised to the 10th power?
Understand the Problem
The question is asking to calculate the value of 1 trillion raised to the power of 10. This involves exponential calculations which require step-by-step solutions to arrive at the precise value.
Answer
$10^{120}$
Answer for screen readers
$10^{120}$
Steps to Solve
-
Convert 1 trillion to base 10 notation
1 trillion can be expressed as $1 \text{ trillion} = 1,000,000,000,000 = 10^{12}$. -
Apply the power of a power rule
When raising a power to another power, you multiply the exponents. So, we need to calculate $(10^{12})^{10}$. -
Multiply the exponents
Using the power of a power rule, we can simplify:
$$(10^{12})^{10} = 10^{12 \times 10} = 10^{120}$$ -
Write the final answer in standard form
The final result is $10^{120}$, which is 1 followed by 120 zeros.
$10^{120}$
More Information
The number $10^{120}$ is an extremely large number. In scientific notation, it indicates that there are 120 zeros following the digit 1. This illustrates the vast magnitude of exponential growth.
Tips
- Forgetting to convert the number to base 10: Always ensure to express large numbers in a manageable exponent form before calculations.
- Misapplying the power rules: Remember that when raising a power to another power, you multiply the exponents.
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