
- 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
Writing Expressions Using Exponents
The exponent of a number tells us how many times the number is multiplied.
For example,
am = a × a × a × a…m times.
b4 = b × b × b × b.
53 = 5 × 5 × 5.
The number a is known as base and m is said to be exponent and am is said to be the exponent form of the number.
Exponents are also called powers or indices.
We read am 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 = 65
Step 3:
The expression 65 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 = 43
Step 3:
The expression 43 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 = 76
Step 3:
The expression 76 has a base of 7 and an exponent of 6.