Answer:
C. [tex]\frac{1}{45^{6}}[/tex]
Step-by-step explanation:
Concepts Used:
- Exponents
- The rule of Negative exponents
- Power of a Product Rule
Simplifying the given expression:
We are given the expression:
[tex]\frac{45^{-3}}{45^{3}}[/tex]
According to the rule of negative exponents, 45⁻³ = 1/45³
[tex]\frac{1}{45^{3}}*\frac{1}{45^{3}}[/tex]
[tex]\frac{1}{45^{3}*45^{3}}[/tex]
According to the Power of a Product rule: aⁿ X aᵇ = aⁿ⁺ᵇ
Using the Power rule to further simplify our expression:
[tex]\frac{1}{45^{6}}[/tex]
Hence, Option C is correct
