Answer:
To express 27 × 81 as a power of 3, we need to find the common factors of 27 and 81.
27 = 3^3
81 = 3^4
Now, we can rewrite 27 × 81 as:
27 × 81 = (3^3) × (3^4)
Using the property of exponents, when multiplying numbers with the same base, we add the exponents. Therefore:
27 × 81 = 3^(3+4) = 3^7
So, 27 × 81 can be expressed as a power of 3 as 3^7.
Explanation: