Question

1. the expression (-2a^2b^3)(4ab^5)(6a^3b^2) is equivalent to 1) 8a^6b^30 2) 48a^5b^10 3) -48a^6b^10 4) -48a^5b^10

Explanation:

Step1: Multiply the coefficients

$(-2)\times4\times6=-48$

Step2: Apply exponent - rule for multiplying variables with the same base ($a^m\times a^n=a^{m + n}$) for $a$ terms

$a^{2}\times a\times a^{3}=a^{2 + 1+3}=a^{6}$

Step3: Apply exponent - rule for multiplying variables with the same base ($b^m\times b^n=b^{m + n}$) for $b$ terms

$b^{3}\times b^{5}\times b^{2}=b^{3 + 5+2}=b^{10}$

Step4: Combine the results

The result is $-48a^{6}b^{10}$

Answer:

1. $-48a^{6}b^{10}$