Question

On simplifying 8^3 × 2^4, we get _____________ (It is, 8 raised to 3, and, 2 raised to 4)

Answer 1

Answer:

2^13

Step-by-step explanation:

8^3 x 2^4

=512 x 16

=8192

this is the solution now

8^3 is (2^3)^3)

=2^9 x 2^4

=2^(9+4)

=2^13

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Answer 2

Answer:

8^3 × 2^4 simplifies to 8192.

Step-by-step explanation:

Exponents are a way of representing repeated multiplication of a number by itself. Simplifying exponents involves reducing them to their simplest form using basic rules of algebra.

One common rule is the product rule, which states that when two bases with the same exponent are multiplied, the bases can be combined by adding their exponents.

To simplify the expression 8^3 × 2^4, we need to use the rules of exponents.

First, we can simplify 8^3 to get 512, since 8^3 means 8 multiplied by itself three times (8 × 8 × 8). Similarly, we can simplify 2^4 to get 16, since 2^4 means 2 multiplied by itself four times (2 × 2 × 2 × 2).

Now, we can substitute these simplified values back into the original expression to get:

8^3 × 2^4 = 512 × 16

Next, we can multiply 512 by 16 to get the final answer:

512 × 16 = 8192

Therefore, 8^3 × 2^4 simplifies to 8192.

for more on simplification problems

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