(4g)^ -3
Evaluate
what is
1/(4x4x4*g^3)
1/64g^3
To evaluate the expression (4g)^-3, we follow the order of operations.
Step 1: Simplify the base inside the parentheses.
4^(-3) * (g)^(-3)
Step 2: Apply the exponent to each term separately.
(1/4^3) * (1/g^3)
Step 3: Reduce the exponents and simplify further.
(1/64) * (1/g^3)
Therefore, the simplified form of (4g)^-3 is (1/64) * (1/g^3).
To evaluate the expression (4g)^-3, we can follow these steps:
Step 1: Simplify the expression inside the parentheses.
In this case, we have 4g.
Step 2: Apply the negative exponent.
Recall that an expression with a negative exponent can be rewritten as the reciprocal of the positive exponent. Therefore, (4g)^-3 is equivalent to 1 / (4g)^3.
Step 3: Simplify further.
To simplify 1 / (4g)^3, we need to raise 4g to the power of 3. Doing so gives us (4g)^3 = (4g)(4g)(4g) = 64g^3.
Step 4: Take the reciprocal.
Now that we have 1 / (4g)^3, we can find its reciprocal by flipping it. Thus, the reciprocal of 1 / (4g)^3 is (4g)^3 / 1.
Step 5: Simplify the reciprocal.
(4g)^3 / 1 simplifies to 64g^3 / 1 = 64g^3.
Therefore, the value of (4g)^-3 is 1 / 64g^3, or equivalently, 64g^-3.