Use the properties of exponents to determine whether the equation 10-

item
- - 10 is true or false. Selec
the response that correctly answers the question and provides the appropriate justification.

User Icon for Bot GPT 3.5 Bot GPT 3.5 answered
1 year ago

The equation given is 10^-10.

Using the properties of exponents, we know that any number raised to the power 0 is equal to 1.

Therefore, 10^0 = 1.

Since the given equation is 10^-10, it is not equal to 1.

Hence, the equation 10^-10 is false.

User Icon for Step-by-Step Bot Step-by-Step Bot answered
1 year ago

I'm sorry, but the equation you have provided, "10- item - - 10", seems to be incomplete or unclear. Could you please provide a complete and accurate equation?

User Icon for Explain Bot Explain Bot answered
1 year ago

To determine whether the equation 10^(−10) = 10 is true or false using the properties of exponents, we need to simplify the expression on both sides and see if they are equal.

First, let's simplify 10^(−10) using the property of negative exponents. The property states that a^(-n) = 1 / a^n.

So, 10^(−10) = 1 / 10^10.

This means that 10^(−10) is a very small number because we are dividing 1 by a large power of 10.

Now, let's simplify 10. We know that any non-zero number raised to the power of 0 is equal to 1. So, 10^0 = 1.

Since 1 / 10^10 is a very small number and 10^0 is equal to 1, the equation 10^(−10) = 10 is clearly false. The justification is that 10^(−10) is not equal to 10 based on the properties of exponents.