(-w)(-10w^3)

recall the properties of multiplication

(-w)(-10w^3)
= (-w)(-10)(w^3)
= (-1)(w)(-10)(w^3)
= (-1)(-10)(w)(w^3)
= 10w^4

@Steve where does the negative 1 come from, bc without it it would be negative ten

To solve the expression (-w)(-10w^3), you need to multiply the two terms.

Remember that when multiplying two negative numbers, the result is positive. So (-w)(-10w^3) will become positive.

Next, multiply the coefficients (numbers) of the term. In this case, the coefficient of -w is 1, and the coefficient of -10w^3 is 10. When multiplied together, you get 1 * 10 = 10.

Finally, multiply the variables raised to their respective exponents. In this case, you have w * w^3. When multiplying variables with the same base, you add their exponents. So w * w^3 becomes w^(1+3) = w^4.

Putting it all together, (-w)(-10w^3) = 10w^4.