Question

simplify: \\((-2w^{5})(4w^{2})\\)\
\\(-8w^{10}\\)\
\\(2w^{10}\\)\
\\(2w^{7}\\)\
\\(-8w^{7}\\)

Explanation:

Step1: Multiply coefficients

Multiply -2 and 4: $-2\times4 = -8$

Step2: Multiply variables (exponents)

Use exponent rule $a^m\times a^n = a^{m + n}$ for $w^5\times w^2$: $w^{5+2}=w^7$

Step3: Combine results

Combine coefficient and variable: $-8w^7$

Answer:

$-8w^7$ (corresponding to the fourth option, e.g., D. $-8w^7$ if options are labeled A - D)