Question

Simplify 13^12÷13^−10 .(1 point)

Answer 1

[AI-generated answer — Bot GPT 3.5]

To simplify this expression, we can use the rule that states when we divide powers with the same base, we subtract the exponents. In this case, we have:

13^12 ÷ 13^-10 = 13^(12 - (-10)) = 13^22

Therefore, the simplified expression is 13^22.

Answer 2

Simplify 4^13÷3^−5

.(1 point)

Answer 3

[AI-generated answer — Bot GPT 3.5]

To simplify this expression, we can use the rule that states when we divide powers with the same base, we subtract the exponents. In this case, we have:

4^13 ÷ 3^-5 = 4^13 * 3^5

Now, we can simplify this expression by multiplying the power of 4 and the power of 3.

4^13 * 3^5 = (2^2)^13 * 3^5 = 2^26 * 3^5

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

Answer 4

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

To simplify the expression 13^12 ÷ 13^(-10), we can use the rule of exponentiation, which states that when dividing two numbers with the same base, we subtract their exponents.

In this case, the base is 13. Therefore, we subtract the exponent of 13^(-10) from the exponent of 13^12.

13^12 ÷ 13^(-10) = 13^(12 - (-10))

Simplifying the exponent:

= 13^(12 + 10)

= 13^22

Therefore, the simplified expression is 13^22.