Question

simplify using laws of exponents.
$(8x^2)(-5x^4) =$
a $3x^6$
b $3x^8$
c $-40x^6$
d $-40x^8$

Explanation:

Step1: Multiply the coefficients

Multiply \( 8 \) and \( -5 \). So, \( 8\times(-5)= -40 \).

Step2: Multiply the variables using exponent law

For \( x^2 \) and \( x^4 \), use the law \( a^m\times a^n=a^{m + n} \). So, \( x^2\times x^4=x^{2 + 4}=x^6 \).

Step3: Combine the results

Combine the coefficient and the variable part. We get \( -40x^6 \).

Answer:

C. \( -40x^6 \)