How do you simplify $2^{4} \cdot 2^{5}$ $2^4*2^5$ ?

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How do you simplify $2^{4} \cdot 2^{5}$ $2^4*2^5$ ?

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Answer 1 · 2017-01-06T02:46:15

$2^{9}$ $2^9$ or 512

Explanation:

Based on the exponent product rule, which states that whenever you are multiplying exponents with the same base, you just add the exponents together and solve.

In this case 2 is the base and the numbers 4 and 5 represent the exponent: ![http://slideplayer.com/slide/5707708/]( useruploads.socratic.org )

Therefore, $2^{4} \times 2^{5}$ $2^4xx2^5$ becomes $2^{4 + 5}$ $2^(4+5)$ , which is the same as $2^{9}$ $2^9$ or $2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2$ $2xx2xx2xx2xx2xx2xx2xx2xx2$ .

After you multiply everything together you'll obtain a value of 512.

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How do you simplify $2^{4} \cdot 2^{5}$ $2^4*2^5$ ?

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