Evaluate:

Question

(8x^11y^-3/4x^5y^-7)^0 =

Answer 1

To simplify the expression, we need to apply the exponent of 0 to each term inside the parentheses:

(8x^11y^-3)/(4x^5y^-7)^0

Any number or variable raised to the power of 0 is equal to 1. Thus, we have:

(8x^11y^-3)/(4x^5y^-7) * (1)

Multiplying by 1 does not change the value of the expression, so we can ignore it.

Now, let's simplify the fraction:

8x^11y^-3 / 4x^5y^-7

To divide terms with the same base, we subtract the exponents:

= 8/4 * x^(11-5) * y^(-3-(-7))

= 2x^6 * y^4

Therefore, (8x^11y^-3/4x^5y^-7)^0 simplifies to 2x^6 * y^4.