Question

Evaluate--- 9^0. and 6^-2​

Answer 1

Question :- Evaluate :--- 9^0 and 6^-2 .

Solution :-

First :- 9^0

we know that,

• Any number raised to the power of 0 equals to 1.
• a^0 = 1 .

so,

→ 9^0 is equal to 1 . (Ans.)

Second :- 6^(-2)

we know that,

• A negative exponent means repeated division by the base.
• a^(-m) = 1/a^m .

so,

→ 6^(-2)

→ 1/6²

→ (1/36) (Ans.)

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Answer 2

Given:

Evaluate--- 9^0. and 6^-2

Solution:

$1) {9}^{0}$

In zero exponent property, a^0 =1. So, the required answer of the given term is 1.

$= > {9}^{0} = 1$

_________________________________

$2) {6}^{ - 2}$

In Negative Exponent property, a^-x = 1/a^x.

$= > {6}^{ - 2} = \dfrac{1}{ {6}^{2} }$

$= > \dfrac{1}{6 \times 6}$

$= \dfrac{1}{36}$

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