Definition of X^(-n)
Product and Quotient of Powers
Power of Powers Rule
Exponent <-> Radical Forms
Challenge Problems
100

This is the definition of 

x^-n

What is 

1/x^n

100

The name of this property of exponents 

x^n + x^m = x^(n+m)

The Product of Powers Rule

100

The definition of the Power Rule

What is 

(x^n)^m = x^(n*m)

100

The radical form of 

a^(m/n)

What is 

root(n)(a^m)

100

The equivalent expression of 

x^(7x)/x^(5)

What is 

x^(7x-5)

200

This is an equivalent expression of 

3^-2

What is 

1/3^2 or 1/9

200

The equivalent expression of 

2^6/2^4

What is 

2^2 or 4

200

The equivalent expression of 

(2^2)^3

What is 

2^6

200

The exponent form of 

sqrt(x)

What is 

x^(1/2)

200

Evaluate 

(2^6/2^5)^3

What is 8

300

This is an equivalent expression of

x^-4

What is 

1/x^4

300

The equivalent expression of 

x^7*x^-4

What is 

x^3

300

The equivalent expression of 

(7^x)^y

What is 

7^(x*y)

300

The exponent form of 

root(9)(2^18)

What is 

2^(18/9) or 2^2

300

The equivalent expression of 

((42x^5)/(7x^5))^(1/2)

What is 

sqrt(7) or 7^(1/2)

400

This is an equivalent expression of 

(4/7)^-5

What is 

(7/4)^5

400

The equivalent expression of 

b^-4/b^6

What is 

1/b^10 or b^-10

400

Evaluate 

(2^3)^2

What is 64

400

The radical form of 

y^(10/9)

What is 

root(9)(y^10)

400

The equivalent expression of 

(64^(x/2)/x)^-1

What is 

x/8^x

500

This is an equivalent expression of 

(x^7/y^-2)^-3

What is 

1/(x^21y^6)

500

The equivalent expression of 

9^(x+y)/9^(x-y)

What is 

9^(2y)

500

The equivalent expression of 

(6^-2/8^4)^-2

What is 

6^4*8^8

500

The exponent form of 

root(x)(7^y)

What is 

7^(y/x)

500

The equivalent expression of 

((x^6*x^-4*y^2)/(x^2*y^(4/2)))^-2

What is 1?

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