evaluate the expression 6^-2 x 4^0.
a) 12
b) 48
c) 1/36
d) 36
Post the answer bro
answer
To evaluate the expression 6^-2 x 4^0, we first need to understand the properties of exponents.
When a number is raised to a negative exponent, we can rewrite it as the reciprocal of the number raised to the positive exponent. In this case, 6^-2 can be rewritten as 1/6^2.
Any number raised to the power of 0 is equal to 1. Therefore, 4^0 equals 1.
Now, substitute these values back into the expression:
6^-2 x 4^0 = (1/6^2) x 1
Simplifying further:
1/6^2 = 1/36
So the expression evaluates to 1/36.
Therefore, the correct answer is option c) 1/36.
Online, “*” is used to indicate multiplication to avoid confusion with “x” as an unknown.
Anything to the zero power = 1.
6^-2 would be less than one.