What's 10 to the 10th power?
Understand the Problem
The question is asking for the result of raising the number 10 to the power of 10, which involves calculating 10 multiplied by itself 10 times.
Answer
$10000000000$
Answer for screen readers
$10000000000$
Steps to Solve
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Understanding Exponents Raising a number to a power means multiplying that number by itself a certain number of times. In this case, we need to multiply 10 by itself 10 times.
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Setting Up the Calculation Using the exponent notation, we can express this as $10^{10}$, which means: $$ 10 \times 10 \times 10 \times 10 \times 10 \times 10 \times 10 \times 10 \times 10 \times 10 $$
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Performing the Calculation Now we multiply:
- First pair: $10 \times 10 = 100$
- Second pair: $100 \times 10 = 1000$
- Third pair: $1000 \times 10 = 10000$
- Fourth pair: $10000 \times 10 = 100000$
- Fifth pair: $100000 \times 10 = 1000000$
- Sixth pair: $1000000 \times 10 = 10000000$
- Seventh pair: $10000000 \times 10 = 100000000$
- Eighth pair: $100000000 \times 10 = 1000000000$
- Ninth pair: $1000000000 \times 10 = 10000000000$
Thus, when we multiply as indicated, we find:
$$ 10^{10} = 10000000000 $$
$10000000000$
More Information
The result of $10^{10}$, which is $10000000000$, is also known as ten billion. This is a significant number often seen in large-scale calculations or data analysis.
Tips
- Confusing the operation of exponents with multiplication alone. Remember, exponentiation means multiplying the base by itself as many times as the exponent indicates.
- Incorrectly calculating intermediate steps, especially when working with multiple zeros.
