Index Law Explorer - Interactive

Multiply Powers

Base ($a$)

First index ($m$)

Second index ($n$)

$2^3 \times 2^4 = 2^7 = 128$

$2 \times 2 \times 2$ × $2 \times 2 \times 2 \times 2$ = $2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2$
3 twos + 4 twos = 7 twos

Base ($a$)

Numerator index ($m$)

Denominator index ($n$)

$3^5 / 3^2 = 3^3 = 27$

$\frac{3 \times 3 \times 3 \times 3 \times 3}{3 \times 3}$ = $3 \times 3 \times 3$
5 twos - 2 twos = 3 twos