Question

1. solve. $-4m^5 \cdot 2m^2$ $-8m^7$—ice skates $8m^{10}$—parkas $-2m^7$—bathing suits $-8m^{10}$—goggles

Explanation:

Step1: Multiply the coefficients

Multiply -4 and 2: $-4\times2 = -8$

Step2: Multiply the variables (using exponent rule $a^m \cdot a^n = a^{m + n}$)

For $m^5 \cdot m^2$, we add the exponents: $5 + 2 = 7$, so $m^5 \cdot m^2 = m^7$

Step3: Combine the results

Combine the coefficient and the variable part: $-8\times m^7 = -8m^7$

Answer:

$-8m^7$ (corresponding to "ice skates" option)