Respuesta :

Answer:

a=11,b=7

Step-by-step explanation:

To get to the result we firs multiply the figures on the left hand side.

multiplication of each term with its similar term is shown:

5×-4=-20

x⁷ₓx⁴=x¹¹. Here we add the powers because we are multiplying indices to the same base.

y²ₓ y⁵= y⁷

Thus the correct answer is a=11 and b=7

Answer:

[tex]a=11,b=7[/tex]

Step-by-step explanation:

The given equation is

[tex](5x^7y^2)(-4x^4y^5)=-20x^ay^b[/tex]

Recall that [tex]a^m\times a^n =a^{m+n}[/tex]

We simplify the left hand side to obtain;

[tex]-20x^{7+4}y^{2+5}=-20x^ay^b[/tex]

This implies that;

[tex]-20x^{11}y^{7}=-20x^ay^b[/tex]

Comparing exponents, we have

a=11,b=7

The first choice is correct.

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