1. Express 1296 in exponential form in two different ways.
1. Exponential form: 1296 = (6^4)
2. Exponential form: 1296 = (2^4) x (3^4)
To express 1296 in exponential form in two different ways, we can rewrite it as a product of a base and an exponent.
First way:
1296 = 6^4
Second way:
1296 = 2^4 * 3^4
To express 1296 in exponential form, you need to find the base and the exponent. Exponential notation is represented as a number raised to a power.
1) The first way to express 1296 in exponential form is as 6^4. Here, 6 is the base and 4 is the exponent. This means that 6 is multiplied by itself four times: 6 × 6 × 6 × 6 = 1296.
2) The second way to express 1296 in exponential form is as 2^9. Here, 2 is the base and 9 is the exponent. This means that 2 is multiplied by itself nine times: 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 = 512, and then 512 × 2 = 1024, and finally 1024 × 2 = 1296.
So, 1296 can be expressed in two different exponential forms: 6^4 and 2^9.