Question

what is the value of 0^-10?​

Answer 1

Answer:

0

Step-by-step explanation:

0×0×0×0×0×0×0×0×0×0×0=0

Answer 2

Answer:

The value of 0⁻¹⁰ is infinite (∞) or not defined.

Concept:

Exponents and powers.

Exponents and powers are ways of representing very large numbers and very small numbers in a simple manner. For eg: 2×2×2×2×2×2 can be written using exponents as 2⁶ where 2 is called the base and 6 is called the exponent.

There are three main rules associated with exponents -

1. Multiplication Law

2. Division Law

3. Negative Exponent Law

In this problem, we are going to use the negative exponent law which says that if any base has a negative exponent, then it is equal to its reciprocal but with a positive exponent.

a⁻ˣ = 1/aˣ

Given:

0⁻¹⁰

Solution:

Let  0⁻¹⁰ be p.

According to the negative exponent rule, we have

∴ p =  0⁻¹⁰

      = 1/ 0¹⁰

Now, aⁿ = a×a×a×a×a×-----------  n times.

p = 1/(0×0×0×0×0×0×0×0×0×0)

p = 1/0

but 1/0 is undefined i.e., it is infinite.

∴ p = ∞

Hence, the value of 0⁻¹⁰ = p = ∞ (infinite).

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