Question

Evaluate the following:

(1) (17)⁰
(2) (−11)⁰
(3) ${\left(-\frac{9}{13}\right)}^0$
(4) (ab)⁰
(5) ${\left(\frac{273}{894}\right)}^0$

Answer 1

(1) (17)⁰
We know that if ‘a’ is a non-zero rational number, then a⁰ = 1.
Here, 17 is a non-zero rational number.
∴ (17)⁰ = 1

(2) (−11)⁰
We know that if ‘a’ is a non-zero rational number, then a⁰ = 1.
Here, (−11) is a non-zero rational number.
∴ (−11)⁰ = 1

(3) ${\left(-\frac{9}{13}\right)}^0$
We know that if ‘a’ is a non-zero rational number, then a⁰ = 1.
Here, $\left(-\frac{9}{13}\right)$ is a non-zero rational number.
∴ ${\left(-\frac{9}{13}\right)}^0$ = 1

(4) (ab)⁰
We know that if ‘a’ is a non-zero rational number, then a⁰ = 1.
Here, (ab) is a non-zero rational number.
∴ (ab)⁰ = 1

(5) ${\left(\frac{273}{894}\right)}^0$
We know that if ‘a’ is a non-zero rational number, then a⁰ = 1.
Here, $\left(\frac{273}{894}\right)$ is a non-zero rational number.
∴ ${\left(\frac{273}{894}\right)}^0$= 1