Problem 11
Question
Evaluate each exponential expression. $$ 4^{-3} $$
Step-by-Step Solution
Verified Answer
The evaluated expression \(4^{-3}\) is \(1 / 64\).
1Step 1: Understanding Negative Exponents
In mathematics, a negative exponent indicates the reciprocal of the base. Instead of multiplying the base, it divides it. Therefore, \(4^{-3}\) can be rewritten as \(1/4^3\).
2Step 2: Calculating the Reciprocal of the Base
Find the reciprocal of the base by finding the value of the base raised to the positive power. So, \(4^3 = 4*4*4 = 64\).
3Step 3: Final Calculation
Finalize the calculation already established. The result is \(1 / 64\).
Other exercises in this chapter
Problem 11
In Exercises 9–14, perform the indicated operations. Write the resulting polynomial in standard form and indicate its degree. $$ \left(17 x^{3}-5 x^{2}+4 x-3\ri
View solution Problem 11
Evaluate each expression indicate that the root is not a real number. $$ \sqrt{(-13)^{2}} $$
View solution Problem 11
Evaluate each algebraic expression for the given value or values of the variable(s). $$x^{2}-3(x-y), \text { for } x=8 \text { and } y=2$$
View solution Problem 12
simplify each rational expression. Find all numbers that must be excluded from the domain of the simplified rational expression. $$ \frac{y^{2}-4 y-5}{y^{2}+5 y
View solution