Questions: Simplify the following expression. -2(64)^(2 / 3) What is the value of -2(64)^(2 / 3)?

Simplify the following expression. -2(64)^(2 / 3) What is the value of -2(64)^(2 / 3)?
Transcript text: Simplify the following expression. \[ -2(64)^{2 / 3} \] What is the value of $-2(64)^{2 / 3}$ ?
failed

Solution

failed
failed

Solution Steps

To simplify the expression \(-2(64)^{2/3}\), we need to evaluate the exponent first. The expression \(64^{2/3}\) can be interpreted as taking the cube root of 64 and then squaring the result. After finding this value, multiply it by -2 to get the final result.

Step 1: Calculate the Cube Root

We start by calculating the cube root of \(64\): \[ \sqrt[3]{64} = 4 \]

Step 2: Square the Result

Next, we square the result from Step 1: \[ 4^2 = 16 \]

Step 3: Multiply by -2

Finally, we multiply the squared value by \(-2\): \[ -2 \times 16 = -32 \]

Final Answer

\(\boxed{-32}\)

Was this solution helpful?
failed
Unhelpful
failed
Helpful

Questions asked by other users

failedAnswered
Calculate the ideal banking angle in degrees for a gentle turn of 1.4 km radius on a highway with a 94.7 km/hr speed limit, assuming everyone travels at the speed limit.
failedAnswered
Find the exact value of each of the remaining trigonometric functions of (theta). (cos theta=-frac56, quad 90^circ<theta<180^circ) (sin theta=fracsqrt116) (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression) (tan theta=)
failedAnswered
Part B = Enzyme function and pH Enzymes function best when they are in specific environments. Temperature and pH are two environmental conditions that can have significant impacts on enzyme function. For now, you will focus on proteases, enzymes that break down proteins into their component annino acids. Pepsin is a protease that is found primarily in the stomach of mammals where it helps digest proteins present in food 1. Reset the simulation to its defaul settings. Note the initial amount of proteins in the solution and the color of the tube with the biuret solution indicator. 2. In the Enrymes section of the simulation, select "Add Pepsin." 3. The delault pH is 7. Run the simulation at pH 7 and make a note of the amount of amino acids produced after 20 minutes and the color of the tost tube. 4. Next, run the simulation at pH 5 and note the concentration of amino acids atter 20 minutes. Also note the color of the lest tube 5. Run the simulation at pH 2 and at pH 12 . Pay aftention to how the concentration of amino acids produced varies with pH . At which pH did pepsin function the best? in other words, at which pH were the most amino acids produced after 20 minutes? Pepsin functioned best at pH 2 . Pepsin functioned best at pH 5. Pepsin functioned best at pH 7 . Pepsin functioned best at pH 12 . Submit Bequest Ansintr
failedAnswered
Question 2 (4 points) The athletic trainer is most directly responsible for what phases of health care in an athletic environment: Prevention of athletic injuries Diagnosis of athletic injuries First aid and injury management Implementation of prescribed rehabilitation All of the above
failedAnswered
During a medical examination, the doctor taps your knee with a little rubber mallet. Suddenly, your foot kicks upward. How did this reflex occur? a.) A sensory neuron sent a signal to the spinal cord and synapses with a motor neuron, triggering a muscle contraction. b.) An interneuron sent a signal to the spinal cord and synapses with a sensory neuron, triggering a muscle contraction. c.) A motor neuron sent a signal to the spinal cord and synapses with another motor neuron, triggering a muscle contraction.