Exponents and Radicals - Gr 10

Order of Operations With Exponents

100

The value of 2 x 23 .

What is 16?

200

The value of (4³ - 3⁴)²

What is 289?

300

Simplify 12⁰+(7-6³)⁰-2¹

What is 0?

400

The value of ((12 - 3²)³ / sqrt(81))^-1

What is 1/3?

500

The value of sqrt[sqrt(121) + (cbrt(64) + 1⁷)²]

What is 6?

Applying Exponent Laws

100

(x⁵)(x⁴)(x^-2)

What is x⁷?

200

Simplify (2x²y)³

What is 8x⁶y³

300

(3x⁴y⁵)(2xy²)²

What is 12x⁶y⁹

400

3(2x³y²)² (x²y³)³

What is 12x¹²y¹³

500

[(2x³y⁴z³)³ (xy²)^-2]/[2(3x³z⁴)⁰ (2x⁴y²z⁶)]

What is 2x³y⁶z³ ?

Evaluating Radicals/Exponents

100

(sqrt(9))²

What is 9 ?

200

This is standard form.  8^(1/3)

What is 2?

300

This simplified (2sqrt(12))(-3sqrt(3))

What is -36 ?

400

This in Standard Form  (4/9)^3/2 .

What is 8/27 ?

500

This simplified  sqrt(12) + sqrt(18) + sqrt(48) - sqrt(50)

What is 6sqrt(3) - 2sqrt(2) ?

Simplifying Radicals

100

Simplify  sqrt(18).

What is 3sqrt(2) ?

200

Simplify. (sqrt(3))⁵

What is 9sqrt(3)?

300

This simplified and rationalized.  [25sqrt(30)]/[5sqrt(6)]

What is [5sqrt(5)] ?

400

This simplified and rationalized.  [4sqrt(10)]/[3sqrt(3)]

What is [4sqrt(30)]/3 ?

500

This simplified and rationalized.  [(5sqrt(45))(2sqrt(6))]/[(3sqrt(3))(sqrt(20))]

What is 5sqrt(2)

Coastal Knowledge

100

The name of the town where you catch the ferry to Horseshoe Bay.

What is Langdale?

200

This TV show filmed in Gibsons was the longest ever running Canadian TV show.

What is The Beachcombers ?

300

This teacher has taught at this high school longer than any other Chatelech teacher.

Who is Mr. Campbell?

400

What's the name of the the body of water that separates The Sunshine Coast from Vancouver Island?

What is The Salish Sea (also accept The Straight of Georgia)?

500

What is the Indigenous name for the Sechelt nation and spell it correctly.

What is Shishalh spelled "S-h-i-s-h-a-l-h"?