Exponents

Definitions

100

When multiplying exponents with the same base, you _________ the exponents.

What is "add"?

200

When dividing exponents with the same base, you _________ the exponents.

what is "subtract"?

300

If b does not equal 0, then b⁰ will equal what?

What is 1

400

When an exponent is outside parentheses, you distribute and  _________ the two exponents.

What is "multiply"?

500

What does b^-1 equal?

What is "1/b"?

Rules

100

a^maⁿ will equal

What is a^m+n

200

(a^m)ⁿ will equal 

what is a^mn

300

(a/b)^m will equal

what is a^m/b^m

400

(ab)^m will equal 

what is a^mb^m

500

a^m/aⁿ will equal

What is a^m-n

Naming the Rules

100

(9²) x (9⁷)

What is 9⁹?

200

(s²)⁵

What is s¹⁰?

300

(3/4)⁵

What is 3⁵/4⁵

400

(ab)^(3/4)

What is 4th root of (ab)³

500

(8⁷)/(8⁴)

What is 8³

Examples

100

Simplify fully: 5^-4

What is 1/625

200

Square Root of (64x⁵)

What is 8x^5/2

300

2⁴ / 2^-1

What is 2⁵?

400

(2m² x 3n^1/2)²

What is (36m⁴n)?

500

(2x^1/4y^1/3)(3x^1/4y^2/3)

What is 6x^1/2y?

Examples continued

100

Write as a radical: d^3/4

4th root of (d³)

200

Find the common ratio:

3, 6, 12, 24, . . .

What is 2

300

Write the explicit formula of the geometric sequence:

3, 18, 108, 648, . . .

What is a_n = 3 x 6^n-1

400

Simplify the following: 

(6x⁵y^-3)²

What is 36x¹⁰ / y⁶

500

Simplify 3r^-7 / -3(r^-2)⁵

What is -r³