Which values of a and b make the following equation true? a = 11, b = 7 a = 11, b = 10 a = 28, b = 7 a = 28, b = 10

Question

asked Mar 24, 2021 135k views

1 Answer

Justin XL · Answer 1 · 2021-03-29T17:22:06+0000

Answer:

The answer is

Explanation:

$( {5x}^(7) {y}^(2) )( { - 4x}^(4) {y}^(5) ) = - 20 {x}^(a) {y}^(b)$

Multiply the terms on the left side of the equation

That's

$- 20 {x}^(11) {y}^(7) = - 20 {x}^(a) {y}^(b)$

Since the bases are the same we can equate the exponents

That's

${x}^(11) = {x}^(a)$

a = 11

And

${y}^(7) = {y}^(b)$

b = 11

Therefore

a = 11 and b = 7

Hope this helps you