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Turn into single exponent: 2^4 • 4^2 • 2^4

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Final answer:

To turn 2^4 • 4^2 • 2^4 into a single exponent, combine the same bases and add their exponents. In this case, the answer is 2^16.

Step-by-step explanation:

To turn 2^4 • 4^2 • 2^4 into a single exponent, we can combine the same bases and add their exponents. In this case, the base is 2, so we add the exponents together. The exponent of 2 in the first term is 4, the exponent of 2 in the third term is also 4. So the combined exponent for these terms is 4 + 4 = 8.

The second term has a base of 4, so we need to convert it to the same base as the other terms, which is 2. We can rewrite 4^2 as (2^2)^2, which simplifies to 2^(2x2) = 2^4. So the second term becomes 2^4.

Now we have 2^8 • 2^4 • 2^4. To multiply exponential terms with the same base, we add their exponents. So the final expression is 2^(8+4+4) = 2^16.

User Jeremy Voisey
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