Question

Select all the correct answers.

Answer 1

Step-by-step explanation:

when we simplify the original expression, we can combine the y parts and the x parts - remember multiplying with exponents means adding the exponents.

so,

y^-8 × y^3 = y^(-8 + 3) = y^-5

x^0 × x^-2 = x^(0 - 2) = x^-2

therefore, the main expression is actually

y^-5 × x^-2

now also remember, a negative exponent means 1/...

so, this is

1/(y⁵) × 1/(x²) = 1/(y⁵x²)

now, let's have a look at the answer options and compare with our results above :

the first one is wrong.

the second one is correct.

the third one is correct.

the fourth, fifth and sixth ones are wrong.