lemon juice is 10 squared times as acidic as tomato juice . Tomato juice is 10 cubed times as acidic as egg white. How many times as acidic is lemon juice as egg whites? write as a monomial. how do I solve this

First, we need to find the relationship between the acidity of lemon juice and egg whites. Since lemon juice is 10 squared times as acidic as tomato juice, and tomato juice is 10 cubed times as acidic as egg white, we can multiply these two relationships to find the relationship between lemon juice and egg whites.

Lemon juice = (10^2) * Tomato juice
Tomato juice = (10^3) * Egg white

Now, substitute the second equation into the first equation to find the relationship between lemon juice and egg whites:

Lemon juice = (10^2) * (10^3) * Egg white

Combine the exponents using the rule a^(m+n) = a^m * a^n:

Lemon juice = 10^(2+3) * Egg white

Lemon juice = 10^5 * Egg white

So, lemon juice is 10^5 times as acidic as egg whites. The monomial is 10^5.

To solve this, let's break down the information step-by-step.

Given:
- Lemon juice is 10 squared (10^2) times as acidic as tomato juice.
- Tomato juice is 10 cubed (10^3) times as acidic as egg white.

To find out how many times as acidic lemon juice is compared to egg whites, we need to multiply the acidic factor of each step.

Let's represent the acidic factor of lemon juice as "L," the acidic factor of tomato juice as "T," and the acidic factor of egg white as "E."

We have the following equations:
L = 10^2 * T (lemon juice is 10 squared times as acidic as tomato juice)
T = 10^3 * E (tomato juice is 10 cubed times as acidic as egg white)

To find the relationship between L and E, we substitute the value of T from the second equation into the first equation:
L = 10^2 * (10^3 * E)
L = 10^2 * 10^3 * E
L = 10^(2+3) * E
L = 10^5 * E

Thus, the acidic factor of lemon juice (L) is 10^5 times as acidic as egg whites (E).

In monomial form, we can write the acidic relationship as:
L = 10^5E

To solve this problem, we need to follow the given information step by step and then combine the acidities of lemon juice and egg whites into a monomial expression.

Given:
1. Lemon juice is 10 squared times as acidic as tomato juice.
2. Tomato juice is 10 cubed times as acidic as egg white.

Step 1: Find the acidity ratio of tomato juice to egg white
Since tomato juice is 10 cubed (10^3) times as acidic as egg white, we can express this as a ratio: (10^3:1).

Step 2: Find the acidity ratio of lemon juice to tomato juice
Since lemon juice is 10 squared (10^2) times as acidic as tomato juice, we can express this as a ratio: (10^2:1).

Step 3: Combine the ratios to find the acidity ratio of lemon juice to egg white
To combine the ratios, we multiply the exponents since it represents the multiplication within each ratio. Therefore, (10^2) * (10^3) = 10^(2+3) = 10^5.

So, the acidity of lemon juice is 10^5 times as acidic as egg whites.

Written as a monomial, the expression would be 10^5.