Question

Simplify 11 to the negative 4th power over 11 to the 8th power.
1 over 11 to the 12th power
1 over 11 to the 4th power
11^4
11^12

Answer 1

To simplify 11 to the negative 4th power over 11 to the 8th power, we can use the rule that states when you divide two numbers with the same base, you subtract the exponents. So, 11 to the negative 4th power over 11 to the 8th power is equal to 11 to the negative 4th power minus 8th power. That can be written as 11^(-4-8), which simplifies to 11^(-12).

To simplify 1 over 11 to the 12th power, we know that any number raised to the power of 0 is equal to 1. Therefore, 11 to the 0 power is equal to 1. So, 1 over 11 to the 12th power is equal to 1 divided by 1, which simplifies to 1.

To simplify 1 over 11 to the 4th power, we know that any number raised to the power of 1 is equal to itself. Therefore, 11 to the 1st power is equal to 11. So, 1 over 11 to the 4th power is equal to 1 divided by 11, which cannot be simplified further.

To simplify 11^4, we multiply 11 four times. So, 11^4 is equal to 11 × 11 × 11 × 11, which simplifies to 14,641.

To simplify 11^12, we multiply 11 twelve times. So, 11^12 is equal to 11 × 11 × 11 × 11 × 11 × 11 × 11 × 11 × 11 × 11 × 11 × 11, which would be a very long calculation. The result is 313,842,837,672,1.