Name: Laws of exponents: solution walkthrough
Uploaded: 2026-11-13
Duration: 1 min 23 s
Description: Which of the following is equivalent to (x²)³ · x^4? Try it, then watch the animated solution.

An exponent counts repeated factors:

x^2

means

x \cdot x

, and

x^4

means

x \cdot x \cdot x \cdot x

.

(x^2)^3

is three copies of

x^2

. Three groups of

2

is

2 \times 3 = 6

factors, so

(x^2)^3 = x^6

.

Multiplying by

x^4

brings

4

more factors:

6 + 4 = 10

in all, so the result is

x^{10}

.

Traps:

x^9

adds all three exponents,

x^{24}

multiplies all three, and

x^{12}

uses

2^3 = 8

for the power.

Try it first