Question

Find the value of each of the following expression: ((0.6)²)⁰ − ((4.5)⁰)⁻²

Answer 1

Any number raised to 0 will give 1.
So, ((0.6)^2)^0 = 1
Negative power means reciprocal.
((4.5)^0)^-2 = (1)^-2 = 1/(1)^2 = 1/1 = 1
So the expression becomes 1 - 1 which is equal to 0.
So the answer is 0.
Please let me know if the answer is correct.

Answer 2

Here's the answer

We know the identity that :-

$\sf{({a }^{m}) {}^{n} = a {}^{m} {}^{ \times n}}$

So , using this identy,

Solve the question

$\sf{Given :((0.6) {}^{2} ) {}^{0} - ((4.5) {}^{0}) {}^{ - 2} }$

So,

$\sf{ = (0.6) {}^{2 \times 0} -( 4.5) {}^{0 \times ( - 2)}}$

$\sf{ = (0.6) {}^{0} - (4.5) { }^{0}}$

$\sf{ = 1 - 1}$

$\sf{ = 0}$
Hence,
Answer is 0.


Thanks!!