Question

Help please, the homework is due tomorrow.

Evaluate the quantity one half cubed times one half raised to the zero power end quantity all raised to the second power.
1/4
1/16
1/32
1/64

Answer 1

Answer:The correct answer is D. 1/64

Explanation:

To evaluate the given expression, let's solve it step by step:

1. given expression: (1/2)^3 * (1/2)^0

2. We will simplify each term separately:

• (1/2)^3 = 1/8 (since 1/2 * 1/2 * 1/2 = 1/8)

• (1/2)^0 = 1 (as any number raised to the power of 0 is 1)

3. Substitute the values back into the expression:

(1/8) * 1

4. Then we will multiply both the terms :

1/8 * 1 = 1/8

5. Finally, to the last step ie. raise to the power 2:

(1/8)^2 = (1/8) * (1/8) = 1/64

Therefore, the final value of the expression is 1/64.

Answer 2

To evaluate the expression (1/2)^3 * (1/2)^0, we can simplify each part separately and then multiply them together.

First, let's simplify (1/2)^3:

(1/2)^3 = (1/2) * (1/2) * (1/2) = 1/8

Next, let's simplify (1/2)^0:

Any number raised to the power of 0 is equal to 1.

Therefore, (1/2)^0 = 1.

Now, we multiply the simplified parts together:

(1/8) * 1 = 1/8

So, the quantity (1/2)^3 * (1/2)^0 is equal to 1/8.

Now, let's raise 1/8 to the second power:

(1/8)^2 = (1/8) * (1/8) = 1/64

Therefore, the expression (1/2)^3 * (1/2)^0, when raised to the second power, is equal to 1/64.

The correct answer is 1/64.