what matter if you combine water and freezer?
draw your answer..
Answer (1)
Answer:What you're solving for You are solving for the value of a number represented as a power tower: \(10^{10^{10^{10^{100}}}}\). What's given in the problem The expression is a power tower. The base of the outermost exponentiation is \(\text{10}\). The innermost exponent is \(\text{100}\). How to solve Evaluate the power tower from the top down, starting with the innermost exponent. Step 1 . Evaluate the innermost exponent The innermost exponent is \(\text{100}\). The expression becomes \(10^{10^{10^{10^{100}}}}\). Step 2 . Evaluate the next exponent The next exponent is \(10^{100}\), which is a googol. The expression becomes \(10^{10^{10^{\text{googol}}}}\). Step 3 . Evaluate the next exponent The next exponent is \(10^{\text{googol}}\), which is a googolplex. The expression becomes \(10^{10^{\text{googolplex}}}\). Step 4 . Evaluate the next exponent The next exponent is \(10^{\text{googolplex}}\). This number is \(10^{\text{googolplex}}\). Step 5 . Evaluate the final exponent The final exponent is \(10^{(10^{\text{googolplex}})}\). This is an extremely large number, often referred to as a googolduplex. Solution The value of the expression \(10^{10^{10^{10^{100}}}}\) is \(10^{10^{10^{\text{googolplex}}}}\).
