Level Up: Grade 9 Math Jeopardy (Quarter 3 Edition)

Laws of Exponent

1

Simplify using Laws of Exponents: c · c⁵

c⁶

2

Simplify using Laws of Exponents: b¹² / b⁸

b⁴

4

Simplify using Laws of Exponents: (6b¹²) (3b²)

18b¹⁴

5

Simplify using Laws of Exponents: -8r¹⁰/2r⁵

-4r¹⁰

Powers of a Power

1

Simplify using Laws of Exponents: (3²)⁵

3¹⁰

2

Simplify using Laws of Exponents: (5³)⁵

5¹⁵

4

Simplify using Laws of Exponents: (2x⁴)³

8x¹²

5

Simplify using Laws of Exponents: (6⁸)⁴

6³²

Evaluate Roots

1

square root of 81

+-9

2

cube root of 8

2

4

cube root of -125

-5

5

square root of 625

25

Rational Exponents

1

Write in rational exponent form (√ 25)

25^(1/2)

2

Write in rational exponent form (³√8)

8^(1/3)

4

Write in radical form 36^(1/2)

√36

5

Write in radical form 100^(3/2)

√ 100³

Variations

1

If y varies directly as x and y=12 when x=3, find y when x=5.

y=20

2

If y varies inversely as x and y=10 when x=4, find y when x=8.

y = 5

4

If z varies jointly as x and y, and z=48 when x=4 and y=3, find z when x=2 and y=6.

z=48

5

If w varies directly as x and inversely as y, and w=6 when x=3 and y=2, find w when x=4 and y=3.

w=16/3