Fully simplify and write your answer in exponential form with positive exponents only
1/4 * 1/4 * 1/4 * 1/4
To simplify the expression, we multiply the numerators together and the denominators together:
1/4 * 1/4 * 1/4 * 1/4 = (1 * 1 * 1 * 1)/(4 * 4 * 4 * 4)
This simplifies to:
1/256
Therefore, the fully simplified expression in exponential form with positive exponents only is:
1/4 * 1/4 * 1/4 * 1/4 = 1/256 = 4^(-4)
To simplify 1/4 * 1/4 * 1/4 * 1/4, we can multiply the numerators and the denominators together.
The numerator would be 1 * 1 * 1 * 1, which equals 1.
The denominator would be 4 * 4 * 4 * 4, which equals 256.
So, the simplified form is 1/256.
In exponential form with positive exponents only, this can be written as 4^(-4).
To fully simplify the expression and write the answer in exponential form with positive exponents only, we can rewrite each fraction as a base raised to a negative exponent.
1/4 can be written as 4^(-1).
Therefore, the expression 1/4 * 1/4 * 1/4 * 1/4 can be rewritten as (4^-1) * (4^-1) * (4^-1) * (4^-1).
When multiplying exponents with the same base, we add the exponents.
So, we have 4^(-1 + -1 + -1 + -1).
Simplifying the exponents, we get 4^(-4).
In exponential form with positive exponents, the expression is 1/4 * 1/4 * 1/4 * 1/4 = 4^(-4).