It's like all terms that are equivalent to 4 ^ 3 / 4 ^ 5
All terms that are equivalent to 4^3 / 4^5 can be simplified as follows:
1. 4^3 / 4^5 = (4*4*4) / (4*4*4*4*4)
= 64 / 1024
= 1/16
Therefore, any term that simplifies to 1/16 is equivalent to 4^3 / 4^5.
To simplify the expression (4^3)/(4^5), you can use the exponent properties. The rule states that for any non-zero number a and any integer m and n, (a^m)/(a^n) is equal to a^(m-n).
Step 1: Apply the exponent rule to the expression (4^3)/(4^5). Subtract the exponents of 4: 3 - 5 = -2.
Step 2: Rewrite the expression with the new exponent: 4^(-2).
Step 3: Use another exponent rule which states that any number raised to the power of -n is the reciprocal of that number raised to the power of n. In other words, a^(-n) = 1/(a^n).
Step 4: Rewrite 4^(-2) as 1/(4^2).
Step 5: Evaluate 4^2, which is 16.
Therefore, the simplified expression (4^3)/(4^5) is equal to 1/16.
To find all terms that are equivalent to 4^3 / 4^5, we can simplify this expression using the properties of exponents.
First, let's rewrite the expression using the property that dividing two powers with the same base is equal to subtracting their exponents.
4^3 / 4^5 = 4^(3-5) = 4^(-2)
Now, let's rewrite 4^(-2) using the property that a negative exponent is equal to 1 divided by the base raised to the positive exponent.
4^(-2) = 1 / 4^2 = 1/16
Therefore, all terms that are equivalent to 4^3 / 4^5 are 1/16.