Question

find the product -8x(-3x^3 - 3x^2 - x -8)

Answer 1

do you know the index law from multiplication of the same base?

Answer 2

no

Answer 3

ok... so lets start with a basic

A letter on its own has a power of 1

\[x^1 = x\]

then the law you need is

when multiplying the same base, add the powers..

\[x^a \times x^b = x^{ a + b}\]

does that make sense?

Answer 4

so you have

\[(-8 \times -3) \times x^1 \times x^3 + (-8 \times -3) \times x^1 \times x^2 + (-8 \times -1) \times x^1 \times x^1 + (-8 \times -8) \times x^1\]

Answer 5

Perfect! Thank you!