Properties
Fractional Exponents
Same base equations
Different base Equations
Non-Math
100

Evaluate the expression

32.33


35 = 243

100

Evaluate the expression.

root (3)(8)

2

100

Solve the exponential equation.

5x=54

x=4

100

Solve the exponential equation.

4x = 163

x=6

100

First introduced in 1996, this electric-type pokemon is officially classified in the Pokédex as the "Mouse Pokémon."

What is Pikachu?

200

Simplify the expression. Write your answer using only positive exponents.

(z4)-3

1/ z^12

200

Evaluate the expression.

(625)1/4

No real roots

200

Solve the exponential equation.

8x = 512

x = 3

200

Solve the exponential equation.

256 = 64x-2

x = 10/3

200

Rising 19,341 feet above the African savanna, this dormant volcano in Tanzania is the highest free-standing mountain in the world.

What is Mount Kilimanjaro?

300

Simplify the expression. Write your answer using only positive exponents.

(4x^0)/y^-3

4y3

300

(27)4/3

81

300

Solve the exponential equation.

2x+3=29

x = 6

300

Solve the exponential equation.

5^(3x-1)\ = 1/25

x = -1/3

300

This accordion-playing artist scored his first Billboard Top 10 hit in 2014 with "Word Crimes", a parody of Robin Thicke's "Blurred Lines".

Who is "Weird Al" Yankovic?

400

Simplify the expression. Write your answer using only positive exponent.

(12x^4\y^-3)/(4x^2\y)


(3x^2)/y^4

400

Evaluate the expression 

95/2

243

400

Solve the exponential equation.

35x+4=243

x=1/5

400

9x-2 = 27x+3

x = 13

400

This former CEO of Theranos is now a convicted felon, and the star of the new documentary You Can See Everything 

Who is Elizabeth Holmes?

500

 Simplify the expression. Write your answer using only positive exponents.

(3m^(-5)n^(2).mn^4)/(4m^(-2)n^(0).2n)

(3n^5)/(8m^2)

500

The volume of a cube shaped box is 644 units. Find the length of one side.

256 Units

500

Solve the exponential equation.

54x-1 = 52x+7

x = 4

500

Solve the exponential equation.

10(3x-5) = 90

x = 7

500

After overthrowing King Charles I, this "Lord Protector" ruled England as a commonwealth from 1653 until his death in 1658.

Oliver Cromwell

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