Question

For all nonzero values of x,
the expression −3x3⋅6x−2
is equivalent to:

Answer 1

-18x

Explanation:

Expression multiplication:

• Multiply the coefficients of the x terms. -3 * 6 = -18
• Exponent law:

`\boxed{\bf a^m * a^n = a^(m+n)}`. In exponent multiplication, if bases are same, add the powers.

`\sf - 3x^3 * 6x^(-2) = (-3)* 6 * x^(3 + (-2))`

`\sf = (-18)x^1\\\\=-18x`

Answer: -18x