Powers & Roots Flashcards

All 6 cards in this deck

What does $5^3$ mean?

$5 \times 5 \times 5 = 125$

What does $\sqrt{n}$ mean?

e.g. $\sqrt{64}$

The number that multiplies by itself to give $n$.
$\sqrt{64} = 8$

What does $\sqrt[3]{n}$ (the cube root) mean?

e.g. $\sqrt[3]{64}$

The number that multiplied by itself three times gives $n$.
$\sqrt[3]{64} = 4$

List the powers of $2$ from $2^1$ to $2^6$.

$2, 4, 8, 16, 32, 64$

True or false? $3^2$ means $3 \times 2$.

False. $3^2 = 3 \times 3 = 9$; the index tells you how many times to multiply the number by itself.

What are the steps to work out an expression containing powers and roots?

e.g. $3 + 2^2 \times \sqrt{9}$

1. Work out powers and roots first: $2^2 = 4$, $\sqrt{9} = 3$
2. Then multiply or divide: $4 \times 3 = 12$
3. Then add or subtract: $3 + 12 = 15$