Powers and Roots flashcards

29 practice cards drawn from the Powers and Roots lessons. Tap a card to turn it over. Every answer is checked against the lesson it came from.

Read the Powers and Roots lessons in full →

What is 5^3?

125

from “Index Notation”

What is 3^4?

81

from “Index Notation”

5^2 × 5^4 = 5 to the power of what?

6

from “Laws of Indices”

5^6 / 5^3 = 5 to the power of what?

3

from “Laws of Indices”

(2^4)^3 = 2 to the power of what?

12

from “The Power of a Power Rule”

(4^3)^2 = 4 to the power of what?

6

from “The Power of a Power Rule”

What is 3^0?

1

from “Zero and Negative Indices”

What is 5^-3?

1/125

from “Zero and Negative Indices”

What is √64?

8

from “Squares and Square Roots”

What is √9?

3

from “Squares and Square Roots”

What is 3^3?

27

from “Cubes and Cube Roots”

A cube is built from 8 unit cubes. How long is each edge?

2

from “Cubes and Cube Roots”

Using 5832 = 2^3 × 3^6, find the cube root of 5832

18

from “Roots by Prime Factorization”

Using 400 = 2^4 × 5^2, find the square root of 400

20

from “Roots by Prime Factorization”

√25 + 3 × 2

11

from “Powers in the Order of Operations”

5 + 3²

14

from “Powers in the Order of Operations”

What is 64 to the power of a half?

8

from “Fractional Indices”

What is 27^⅔?

9

from “Fractional Indices”

Write 3200000 in standard form

3.2 × 10^6

from “Standard Form”

Write 3000 in standard form

3 × 10^3

from “Standard Form”

(8 × 10^3) × (5 × 10^3)

4 × 10^7

from “Calculating in Standard Form”

(9 × 10^7) / (3 × 10^2)

3 × 10^5

from “Calculating in Standard Form”

Simplify √20

2√5

from “Radicals”

Simplify √63

3√7

from “Radicals”

Rationalize 10/√5

2√5

from “Rationalizing the Denominator”

Rationalize 6/√3

2√3

from “Rationalizing the Denominator”

Expand (1 + √2)(4 − √2)

2 + 3√2

from “Adding and Multiplying Radicals”

Simplify 6√2 + 4√2

10√2

from “Adding and Multiplying Radicals”

Which of these is irrational?

π

from “Rational and Irrational Numbers”

Practice these in the app — your progress saves there.