Because the exponent is negative, we have to move the decimal four places to the left. We need to add three zeroes between the decimal the number three.

The negative sign in the exponent indicates that in order to solve you should use the reciprocal of the integer.

When a number is raised to a power it means that the number is multiplied by itself the same number of times as the number of the power.

In this case is raised to the power so it is equivalent to

We then perform the necessary multiplication to arrive at the answer of .

Even though the base of the exponents are the same, you cannot add the exponents. You must perform each exponent separately.

When you see an exponent, remember it just means the number times itself that many times. That means that is just another way to write .

From here, we can solve it all together in a calculator, or do it in pieces on our own.

Since the two bases of the exponents are the same and are being multiplied, it is acceptable to combine the terms and add their exponents resulting in which equals 128.

The laws of exponents state that when a number is raised to a certain power and then raised to another power then the exponents are multiplied by one another.

Solve for the exponents.

Therefore,

Remember, an exponent just means the number times itself that many times.

That means that is just another way to write . From here, we can solve.

Remember, an exponent just means the number times itself that many times.

That means that is the same as . From here we can either plug it into the calculator or solve in pieces.

Simplifying exponents with a common base can be done by subtracting the exponent in the denominator from the exponent in the numerator.

This gives us the final answer, .