# Power of 10: Positive Exponent

In this lesson, we deal with problems involving expressions with 10 as base having positive exponents.

**Rules to find the positive exponent of 10**

Suppose we have an expression having 10^{n}.

In normal course the value of 10

^{n}is found by multiplying the base

10 'n' times.We also use a shortcut to solve such problem. We look at the exponent and then write a 1 followed by as many zeros as the exponent.

Evaluate 10^{6}

### Solution

**Step 1:**

Here we have an expression involving power of ten with a positive exponent.

The base is 10 and the exponent is 6.

**Step 2:**

In normal course the value of 10^{6} can be found by multiplying the base 10 six times.

10^{6} = 10 × 10 × 10 × 10 × 10 × 10

**Step 3:**

Using a shortcut, we look at the exponent and then write a 1 followed by as many zeros as the number in the exponent. Since the exponent is a 6, we write a 1 followed by six zeros.

So 10^{6} = 1,000,000

### Solution

**Step 1:**

Here we have an expression involving power of ten with a positive exponent.

The base is 10 and the exponent is 9.

**Step 2:**

In normal course the value of 10^{9} can be found by multiplying the base 10 nine times.

10^{9} = 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10

**Step 3:**

Using a shortcut, we look at the exponent and then write a 1 followed by as many zeros as the exponent. Since the exponent is 9, we write a 1 followed by nine zeros.

So 10^{9} = 1,000,000,000