Question

What is 4 x 4 x 4 x 5 x 5 using the index notation

Answer 1

In index notation, you can represent the expression 4 x 4 x 4 x 5 x 5 as follows:

4^3 x 5^2

This notation shows that 4 is raised to the power of 3 (4^3) and 5 is raised to the power of 2 (5^2), and then these values are multiplied together. So, 4^3 means 4 cubed, which is equal to 4 x 4 x 4, and 5^2 means 5 squared, which is equal to 5 x 5.

Therefore, the result of 4 x 4 x 4 x 5 x 5 in index notation is 4^3 x 5^2.

Answer 2

512000

Explanation:

You can write the expression 4 x 4 x 4 x 5 x 5 as follows:

4^1 x 4^2 x 4^3 x 5^1 x 5^2

To evaluate this expression, you need to multiply each factor according to its power. Here's the step-by-step calculation:

1. Multiply 4^1 (which is 4) by 4^2 (which is 16):

4 x 16 = 64

2. Multiply 64 by 4^3 (which is 64):

64 x 64 = 4096

3. Multiply 4096 by 5^1 (which is 5):

4096 x 5 = 20480

4. Multiply 20480 by 5^2 (which is 25):

20480 x 25 = 512000