7th Grade Math Exponent Market Game

Level 1(30 Secs)

100

10 to the 2nd power

100

200

Simplify the expression (2⁵)²

2¹⁰

300

(5/3)² × (5/3)²

625/81

400

12 to the 3rd power times 2 to the 0 power

1,728

500

8⁴ X 2³

2¹⁵

Level 2 (45 Secs)

100

10 to the -3

.01 or 1/100

200

(4² × 4^-3)

1/4

300

5 to the -4th power

.0016 or 16/10,000

400

(-2/3)^-3 × (-2/3)^-2

(-3/2)⁵

500

(10)^-2 divided by (5)^-3

5/4

Level 3 (45 secs)

100

5^2y+1 = 125. Find y.

1

200

8 x 10 to the 3rd

8,000

300

If 6^2x+1 ÷ 36 = 216, find the value of x.

2

400

Find the value of x for which 

(5/3)^-4 × (5/3)^-5 = (5/3)^3x

  

-3

500

Lucky Draw: You get free points

You get Free Points

Level 4 (1 min)

100

Find the value of x for which

 (4/9)⁴ × (4/9)^-7 = (4/9)^2x-1

-1

200

By what number should (-6)^-1 be multiplied so that the product becomes 9^-1?

-2/3

300

2.7 X (10)^-7

 .00000027

400

(-2/7)^-4 × (-5/7)2

1225/16

500

{[(-3)/2]²}^-3

64/729

Level 5 (1 min)

100

By what number should (-2/3)^-3 be divided so that the quotient may be (4/27)^-2?

(-3)³ / 2

200

 {(1/3)^-3 - (1/2)^-3} ÷ (1/4)^-3

19/64

300

(3^-7 ×3²ⁿ) + 3 = 3¹¹ ÷ 3⁵

5

400

Lucky draw: You get Free Points

You get Free Points

500

2^x = 4^y = 8^z and xyz = 288, then prove that 1/2x + 1/4y + 1/8z = 11/96.  

Prove