Secondary 1 Unit 2 Quiz 2

Representing an Exponent

100

The Factored Form is: (4)(4)(4)(4)(4)

What are the exponential and standard forms?

4⁵, 1024

200

The Exponential Form is 8³...What is the factored form and standard form?

(8)(8)(8) and 512

300

The factored form is (2)(2)(2)(2)(2)(2)....What are the exponential and standard forms?

2⁶ and 64

400

The factored form is (10)(10)(10)(10)...What are the exponential and standard forms?

10⁴ and 10,000

500

The factored form is (14)(14)...What are the exponential and standard form?

14² and 196

Properties of Exponents

100

(9⁵)⁶(9⁸) Simplify the expression with positive exponents

9³⁸

200

4^-8(4³)² Simplify the expression with only positive exponents

1/(4²) or 1/16

300

(7⁸)⁴/(7³⁵) Simplify the following expression with only positive exponents

1/(7³) or 1/343

400

(11^-6)(11³)(11^-2) Simplify the expression with only positive exponents

1/(11⁵)

500

(9¹²)²(9^-20)(9) Simplify the expression with only positive exponents

9⁵

More Properties of Exponents

100

((4⁸)⁷)/(4²⁴) Simplify the expression with positive exponents

4³²

200

(9²²)(9³)/(9³⁰) Simplify with only positive exponents

1/(9⁵)

300

(b¹⁰c¹²)/(b⁷c⁵) Simplify with only positive exponents

b³c⁷

400

(b⁴c⁸)/(b⁸c³) Simplify with only positive exponents

c⁵/b⁴

500

Simplify with only positive exponents: (a⁴b⁶)(a^-7b^-4)

b²/a³

Radicals

100

8^(3/5)8^(7/5), What are three equivalent expressions to the example shown?

8², 64, 8^(10/5)

200

Simplify (54)^(1/3)

3(2)^(1/3)

300

Simplify (320)^(1/6)

2(5)^(1/6)

400

Simplify (250x⁸y⁴)^(1/3)

(5x²y)(2x²y)^(1/3)

500

Simplify (72)^(1/3)

2(9)^(1/3)

Explicit Function and Missing Values

100

My x values are 0,1,2,3,4 with the corresponding f(x) values being 2, 8, 32, 128, 512

What is the explicit function and f(5)?

f(x)=2(4)^x or f(x)=8(4)^x-1, and f(5)=2048

200

My x values are 0 and 1 with the corresponding outputs being 10 and 50.

What are the values for f(1/2), f(3/2), and f(2)?

10(5)^(1/2), 50(5)^(1/2), 250

300

My x values are 0 and 1 with the corresponding outputs being 10 and 50.

What is the explicit function?

f(x)=10(5)^x or f(x)=50(5)^x-1

400

My x values are 0,1,2,3,4 with the corresponding f(x) values being 3, 9, 27, 81, 243

What is the explicit function and f(5)?

f(x)=3(3)^x or 9(3)^x-1

500

My x values are 0 and 1 with the corresponding outputs being 8 and 48.

What are the values for f(1/2), f(3/2), and f(2)?

8^(1/6), 48^(1/6), 288