Math Anatomy
Exponent Basics
Converting
Single-Digit Showdown
100

Identify the base: 3^2

3

100

If multiplication is repeated addition, an exponent is defined as this type of operation.

repeated multiplication

100

The exponential shorthand for 8 x 8 x 8

8^3

100

The simplified value of 3^2

9

200

In the expression 5^2, this is the name given to the small, raised number 2.

2

200

To solve an exponent, this part tells you exactly how many times to multiply the base by itself.

exponent

200

he exponential shorthand for a string of nine 9s multiplied together 9 times

9^9

200

The simplified value of 2^3

8

300

The entire expression $5^2$—the combination of both the base and the exponent—is known by this term.

Power

300

The value of any non-zero number raised to an exponent of 1, such as the problem 6^1$

Base

300

The exponential shorthand for a string of nine 64s multiplied together 4 times

64^4

300

The simplified value of 6^2

36

400

Writing out 5 x 5 instead of 5^2 shows the number in this specific form.

Expanded Form

400

This is the expanded form of the expression 3^2

3 x 3

400

he exponential notation for 3 x 3 x 3, which simplifies to 27

3^3

400

he simplified value of 4^3

64

500

the symbol ^ used to type an exponent is often called this

carrot or caret

500

his is the expanded form of the expression 2^5

2 x 2 x 2 x 2 

500

The exponential notation for 10 x 10 x 10 x 10 x 10

10^5

500

The simplified value of 3^9

19683

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