Question

12 with the exponer of -6 times 12 with the exponent of -5

Answer 1

Answer:

${12}^{ - 11}$

Step-by-step explanation:

The expression to be simplified is

${12}^{ - 6} \times {12}^{ - 5}$

We can see that the expression involves the idea of indices.Thus,we need to consider one of the laws of indices when dealing with the expression.

One of the laws of indices states that,

${a}^{m} \times{a}^{n} = {a}^{m + n}$

This means that when multiplying indices and the bases are equal, you repeat one of the bases and add the exponents.

This implies that

${12}^{ - 6} \times {12}^{ - 5} = {12}^{ (- 6 - 5)}$

Simplifying the exponent we obtain

$= {12}^{ - 11}$