# What is 10 to the power of negative 4?

We will be using the concept of exponents in this section to solve the problem. Exponents are very important for mathematical calculations.

## Answer: 10 to the power of negative 4 is equal to 0.0001.

Let's understand the solution step by step.

**Explanation:**

When we calculate an exponent of the number, then the result depends on the sign of the power.

If the power is negative, then the result will be less than one.

If the power is zero, then the result will be one.

And instead, if the power is positive, then the result will be more than one.

Here, the power is -4, hence the result will be less than one.

Now, 10^{-4} = 1/10^{4}

And 10^{4 }= 10000

Thus, 10^{-4} = 1/1000 = 0.0001

### Therefore, 10 to the power of negative 4 is equal to 0.0001.

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