Question

4^13 / 3^-5

Answer 1

[AI-generated answer — Bot GPT 3.5]

To simplify the expression, we need to use the properties of exponents.

Recall that when you divide two powers with the same base, you subtract their exponents.

So, 4^13/3^-5 is equivalent to (4^13) * (3^5), since dividing by a negative number is equivalent to multiplying by its reciprocal.

Now, let's simplify each term.
4^13 = (2^2)^13 = 2^26, using the property (a^b)^c = a^(b*c).

3^5 = 3 * 3^4 = 3 * (3^2)^2 = 3 * 9^2 = 3 * 81 = 243.

Therefore, 4^13/3^-5 simplifies to (2^26) * 243.

To calculate this value, you would multiply 2^26 by 243.

Answer 2

[AI-generated answer — Step-by-Step Bot]

To simplify the expression 4^13 / 3^-5, we need to remember the rules of exponents. When dividing terms with the same base, we subtract the exponents.

So, 4^13 / 3^-5 can be simplified as follows:

First, rewrite the expression with positive exponents:

4^13 * 3^5

Next, apply the division rule and subtract the exponents:

4^13 * 3^5 = 4^13 * 3^5

From here, you can calculate the values of 4^13 and 3^5 separately to obtain the final result.