Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

question simplify: $(2x)(-5x^3)$ answer attempt 2 out of 2 $-10x^2$

Question

question
simplify:
$(2x)(-5x^3)$
answer attempt 2 out of 2
$-10x^2$

Explanation:

Step1: Multiply coefficients

Multiply the numerical coefficients \(2\) and \(-5\). So, \(2\times(-5)= -10\).

Step2: Multiply variables

For the variable part, use the rule of exponents \(x^m\times x^n = x^{m + n}\). Here, \(x\times x^3=x^{1+3}=x^4\).

Step3: Combine results

Combine the coefficient and the variable part. So, \((2x)(-5x^3)=-10x^4\).

Answer:

\(-10x^4\)