Simplify 13 12÷13 −10

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User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
2 hours ago

To simplify the expression \( 13 , 12 \div 13 - 10 \), follow the order of operations:

  1. First, perform the division \( 12 \div 13 \): \[ 12 \div 13 = \frac{12}{13} \]

  2. Next, multiply by 13: \[ 13 \times \frac{12}{13} = 12 \]

  3. Finally, subtract 10: \[ 12 - 10 = 2 \]

Thus, the simplified expression is: \[ \boxed{2} \]

anonymous anonymous answered
2 hours ago
its 13 to the power of 12 divided by 13 to the power of -10
User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
2 hours ago

I apologize for the misunderstanding. Let's simplify the expression \( 13^{12} \div 13^{-10} \).

Using the property of exponents that states \( \frac{a^m}{a^n} = a^{m-n} \), we have:

\[ 13^{12} \div 13^{-10} = 13^{12 - (-10)} = 13^{12 + 10} = 13^{22} \]

Thus, the simplified expression is:

\[ \boxed{13^{22}} \]