10x and 45x to the power of 4

90x^4.

-5 over 8 times -3

To evaluate the expressions 10x and 45x to the power of 4, we need to understand how to perform the operations involved.

1. 10x: This expression represents multiplying the number 10 by the variable x. If you are given a specific value for x, you can simply multiply it by 10. For example, if x = 2, then 10x = 10 * 2 = 20.

2. 45x to the power of 4: This expression represents raising the number 45 multiplied by the variable x to the power of 4. To evaluate this expression, you need to multiply 45x by itself four times, also known as raising it to the fourth power.

Here's how you can do that:

Step 1: Multiply 45 by itself: 45 * 45 = 2025.
Step 2: Multiply the result by x: 2025x.
Step 3: Repeat step 1 with the result from step 2: (2025x) * (2025x) = (2025 * 2025)x^2 = 4100625x^2.
Step 4: Repeat step 3 with the result from step 2: (4100625x^2) * (4100625x^2) = (4100625 * 4100625)x^4 = 1681515625x^4.

So, 45x to the power of 4 is equal to 1681515625x^4.

Summary:
- 10x represents multiplying the number 10 by the variable x.
- 45x to the power of 4 involves raising the number 45 multiplied by the variable x to the power of 4. To evaluate it, you need to raise 45 to the fourth power, multiply by the appropriate powers of x, and simplify the expression.