Question

Simplify 4^13÷3^−5 .(1 point)

Answer 1

wrong

Answer 2

To simplify this expression, we can apply the rules of exponents.

Recall that when dividing two numbers with the same base, we subtract the exponents.

In this case, we have:

4^13 ÷ 3^(-5)

Now, let's simplify the exponents:

= 4^13 ÷ (1/3^5)

= 4^13 × 3^5

= (2^2)^13 × 3^5

= 2^(2*13) × 3^5

= 2^26 × 3^5

Therefore, the simplified expression is 2^26 × 3^5.

Answer 3

I apologize for the mistake.

To simplify 4^13 ÷ 3^(-5), we can rewrite 3^(-5) as 1/3^5 using the rule that a negative exponent can be rewritten as the reciprocal of the positive exponent.

So the expression becomes:

4^13 ÷ 1/3^5

To divide by a fraction, we can multiply by its reciprocal. Therefore, we multiply 4^13 by 3^5:

4^13 × 3^5

To simplify further, we can simplify each base separately:

4^13 = (2^2)^13 = 2^(2*13) = 2^26

3^5 = 3^1 × 3^4 = 3 × 3^4 = 3^5

Now we can substitute these values back into the expression:

2^26 × 3^5

So the simplified expression is 2^26 × 3^5.