Exponents and Roots-Geometry Concepts

Multiplying exponents

100

x^{3 .} x⁴

x⁷

200

2^{5 .} 2³

2⁸

300

a^{2 .} a^{6 .} a

a⁹

400

(3x²)^{2 .} x³

9x⁷

500

(y³)^{4 .} y²

y¹⁴

Dividing exponents

100

x⁷/x³

x⁴

200

5⁶/5²

5⁴

300

a⁹/a⁴/a

a⁴

400

12x⁵/3x²

4x³

500

(y⁸)²/y⁵

y¹¹

Negative exponents

100

2^-3

1/8

200

a^-2b³

b³/a²

300

(2/3)^-1

3/2

400

x^{-2 .} x⁵

x³

500

(x^-3y²)²

y⁴/x⁶

Hodge Podge

100

What is the formula for an exponential equation?

y = a (b)^x

200

5⁰ =

1

300

Simplify: √18

3√2

400

3√5+2√5=

5√5

500

What is the common ratio (r) of the following geometric sequence?

2, 8, 32, 128, 512,…

2

Radicals

100

In the expression √25, what is the radicand?

25

200

Name two perfect squares.

square root of: 1, 4, 9, 16, 25, 36, 49, 64,81, 100

300

In the expression ³√8, what is the index?

3

400

What is the product rule with rational exponents?

a^m⋅aⁿ=a^m+n

500

2√12+3√3=

7√3