exponential and radical workshop

Multiply Powers

100

The simplified expression for  (7³)(7²)

What is 7⁵?

200

The simplified expression for  (12x)³

What is 1728x³

300

The simplified expression for   -(4x)²(5x³)

What is -80x⁵?

400

The simplified expression for (4r²s)²(-2s²)³

What is -128r⁴s⁸?

500

The simplified expression for (7x³y)(-2x⁴)

What is -14x⁷y?

Negative and Zero Exponents

100

Simplify and write the expression with positive exponents. m^-4

1/m⁴

200

Simplify and write the expression with positive exponents. 

(x/2)^-2

4/x^2

300

Simplify and write the expression with positive exponents. 

y/x^-2

x²y

400

Simplify and write the expression with positive exponents.

6/(2a)^-3

 

48a³

500

The simplest radical form of

3/(3x^-4y^3) 

What is

x^4/y^3?

Divide Exponents

100

The simplified expression for

2^11/2^8

What is 2³?

200

The simplified expression for

6^5/6^7

1/6^2

300

The simplified expression for

((3x^2z^4)/(2xz))^3

(27x^3z^9)/8

400

Simplify and write the expression with positive exponents. 

((a^3)^5)/(a^4)^5

1/(a^5)

500

The simplified expression for

(r^3)^4/(r^3)^8

What is

1/r^12?

More Exponents

100

The simplified expression for  

((-3t)^0 2)/s^-2

What is 2s²?

200

The simplified expression for

(6x)/x^-3

What is 6x⁴?

300

The simplified expression for

((4b^-1)/(2a^4))^-2

 (a^8b^2)/4?

400

The simplified expression for

(5xy)^2/(x^3y^-5)^3

What is

(25y^17)/x^7

500

(r^-2)/(4r^5 * 4r^-5)

1/(16r^2)

Radical Equations

100

The value of x in the following equation:

sqrt(x)= 10

What is 100?

200

The value of v in the following equation:

sqrt(v-4)=3

What is 13?

300

The value of a in the following equation: 

sqrt(5a-5)= 5

What is 6?

400

The value of v in the following equation:

-10sqrt(v-10) = -60

What is 46?

500

The value of p in the following equation:

3 sqrt(p+3) + 4sqrt(p+3) = 28

What is 13?

Simplifying Radicals

100

The simplest radical form of

sqrt 16

What is 4?

200

The simplest radical form of

sqrt 48

What is 

4sqrt3?

300

The simplest radical form of  

8sqrt32

What is 

32sqrt(2)?

400

The simplest radical form of

sqrt(48x^3)

What is 

4xsqrt(3x)?

500

The simplest radical form of 

sqrt(63m^4p^5)

What is

3m^2p^2sqrt(7p)?

Adding/Subtracting Radicals

100

The simplest radical form of

3sqrt(6)-4sqrt(6)

What is 

-sqrt6?

200

The simplest radical form of 

-10sqrt(11)-11sqrt11

What is 

-21sqrt(11)?

300

The simplest radical form of 

2 sqrt6 - 2sqrt24

What is

-2sqrt6?

400

The simplest radical form of 

2sqrt6+3sqrt54

What is 

11sqrt6?

500

The simplest radical form of

-3sqrt18+3sqrt8-sqrt24

What is 

-3sqrt2-2sqrt6

Multiplying Radicals

100

The simplest radical form of

sqrt6 *sqrt6

What is 36?

200

The simplest radical form of

sqrt5 *sqrt10

What is 

5sqrt2?

300

The simplest radical form of

-4sqrt15*-sqrt3

What is 

12sqrt5?

400

The simplest radical form of 

sqrt(15n^2)*sqrt(10n^3)

What is

5n^2sqrt(6n)?

500

The simplest radical form of 

-3sqrt(7r^3)*6sqrt(7r^2)

What is 

-126r^2sqrtr?