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.
