Help me please to simplify 8 to 8th power x 8 negative 8th power
first recall law of exponents,, if terms have the same base (or the number which is raised to a certain exponent), we can add the exponents,, thus:
8^(8) * 8^(-8)
we can rewrite this as:
8^(8-8)
8^(0)
since any number (expect zero) raised to zero is one,
8^(0) = 1
hope this helps~ :)
To simplify the expression 8 to the 8th power times 8 to the negative 8th power, you can use the rule of exponents that states, "Any number raised to a negative power is equal to 1 divided by the number raised to the positive power."
Step 1: Simplify 8 to the 8th power.
8^8 = 8 * 8 * 8 * 8 * 8 * 8 * 8 * 8 = 16,777,216
Step 2: Simplify 8 to the negative 8th power.
8^(-8) = 1 / (8^8)
= 1 / 16,777,216
Step 3: Simplify the expression by multiplying the results from Step 1 and Step 2.
16,777,216 * (1 / 16,777,216)
= 1
Therefore, the simplified expression is 1.
To simplify the expression, we can use the properties of exponents.
First, let's simplify 8 to the 8th power:
8 to the 8th power means multiplying 8 by itself eight times:
8^8 = 8 * 8 * 8 * 8 * 8 * 8 * 8 * 8
To simplify this further, we can calculate the value:
8^8 = 16,777,216
Now, let's simplify 8 to the negative 8th power:
When we have a negative exponent, we can use the reciprocal of the base raised to the positive exponent.
So, 8 raised to the negative 8th power can be written as:
8^(-8) = 1 / 8^8
Now we can substitute the value we found earlier:
8^(-8) = 1 / 16,777,216
Therefore, the simplified expression is 1 over 16,777,216.