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Answers
Given Question:
Find the value of:
Solution:
The base of the given question is 9. This can be further simplified as 3^2.
Substituting, we get:
[Identity applied = a^m x a^n = a^(mn)]
Now, cancelling both the 2s, we are left with:
[Identity applied = a^(-m) = (1/a)^m]
The required answer is 1/27.
Attached below are the essential exponential laws required to solve questions containing exponents.
Knowledge Bytes:
- A number is said to be expressed in powers if it contains a base and an exponent.
- All numbers can be expressed as powers raised to one.
- Any number raised to 0 is 1.
- Always try to remove negative exponents (if any) by taking the reciprocal of the base.

Explanation:
Given Question:
Find the value of:
Solution:
The base of the given question is 9. This can be further simplified as 3^2.
Substituting, we get:
[Identity applied = a^m x a^n = a^(mn)]
Now, cancelling both the 2s, we are left with:
[Identity applied = a^(-m) = (1/a)^m]
The required answer is 1/27.
Attached below are the essential exponential laws required to solve questions containing exponents.
Knowledge Bytes:
- A number is said to be expressed in powers if it contains a base and an exponent.
- All numbers can be expressed as powers raised to one.
- Any number raised to 0 is 1.
- Always try to remove negative exponents (if any) by taking the reciprocal of the base.