Question

The product of 64 times 8 to the third power can be expressed as 2n. Find n.

Answer 1

To find n, calculate the product 64 times 8 to the third power. The value of n is 16384.

Step-by-step explanation:

The product of 64 times 8 to the third power can be expressed as 2n. To find n, we need to calculate the product 64 times 8 to the third power. Here's how we can do it step by step:

1. Calculate 8 to the third power: 8^3 = 8 * 8 * 8 = 512
2. Multiply 64 by the result from step 1: 64 * 512 = 32768
3. Now we set up the equation 32768 = 2n and solve for n by dividing both sides of the equation by 2: n = 32768 / 2 = 16384

So, in the expression 64 times 8 to the third power, n is equal to 16384.