- Ordering Rounding and Order of Operations
- Home
- Introduction to Inequalities
- Comparing a Numerical Expression With a Number
- Ordering Large Numbers
- Rounding to Tens or Hundreds
- Rounding to Hundreds or Thousands
- Rounding to Thousands, Ten Thousand, or Hundred Thousand
- Estimating a Sum of Whole Numbers
- Estimating a Difference of Whole Numbers
- Estimating a Product of Whole Numbers
- Estimating a Quotient of Whole Numbers
- Writing Expressions Using Exponents
- Introduction to Exponents
- Power of 10: Positive Exponent
- Power of 10: Negative Exponent
- Introduction to Parentheses
- Comparing Numerical Expressions With Parentheses
- Introduction to Order of Operations
- Order of Operations With Whole Numbers
- Order of Operations With Whole Numbers and Grouping Symbols
- Order of Operations With Whole Numbers and Exponents: Basic

- Selected Reading
- UPSC IAS Exams Notes
- Developer's Best Practices
- Questions and Answers
- Effective Resume Writing
- HR Interview Questions
- Computer Glossary
- Who is Who

# Writing Expressions Using Exponents

The **exponent** of a number tells us how many times the number is multiplied.

For **example**,

a

^{m}= a × a × a × a…m times.b

^{4}= b × b × b × b.5

^{3}= 5 × 5 × 5.

The number *a* is known as **base** and *m* is said to be **exponent** and *a*^{m} is said to be the **exponent form** of the number.

Exponents are also called **powers** or **indices**.

We read *a ^{m}* as

*a*raised to the power

*m*or just

*a*to the power

*m*.

Rewrite 6 × 6 × 6 × 6 × 6, using an exponent.

### Solution

**Step 1:**

The number 6 appears five times in the multiplication.

**Step 2:**

So 6 × 6 × 6 × 6 × 6 = 6^{5}

**Step 3:**

The expression 6^{5} has a base of 6 and an exponent of 5.

Rewrite 4 × 4 × 4, using an exponent.

### Solution

**Step 1:**

The number 4 appears three times in the multiplication.

**Step 2:**

So 4 × 4 × 4 = 4^{3}

**Step 3:**

The expression 4^{3} has a base of 4 and an exponent of 3.

Rewrite 7 × 7 × 7 × 7 × 7 × 7, using an exponent.

### Solution

**Step 1:**

The number 7 appears six times in the multiplication.

**Step 2:**

So 7 × 7 × 7 × 7 × 7 × 7 = 7^{6}

**Step 3:**

The expression 7^{6} has a base of 7 and an exponent of 6.