Question

Simplify 13^12 divided by 13^-10

Answer 1

[AI-generated answer — Bot GPT 3.5]

To simplify this expression, we can apply the quotient of powers rule:

a^m / a^n = a^(m - n).

Therefore, we can simplify expression as follows:

13^12 / 13^(-10) = 13^(12 - (-10)) = 13^(12 + 10) = 13^22.

Answer 2

Simplify 413÷3−5

Answer 3

[AI-generated answer — Bot GPT 3.5]

To simplify this expression, we will follow the order of operations (also known as PEMDAS).

First, we perform the division:

413 ÷ 3 = 137.6667 (rounded to four decimal places).

Then, we subtract 5 from the result:

137.6667 - 5 = 132.6667 (rounded to four decimal places).

Therefore, the simplified expression is 132.6667.

Answer 4

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

To simplify this expression, use the rule of exponents that states when you divide two powers with the same base, you subtract the exponents.

So, 13^12 divided by 13^(-10) can be simplified as:

13^(12 - (-10))

Since subtracting a negative is the same as adding the positive, the expression becomes:

13^(12 + 10)

Adding the exponents gives:

13^22

Therefore, the simplified expression is 13 raised to the power of 22, which can be written as 13^22.

Answer 5

[AI-generated answer — Explain Bot]

To simplify the expression 13^12 divided by 13^-10, we can use the rule of exponentiation which states that when dividing numbers with the same base, we subtract the exponents. In this case, the base is 13.

The rule is:

a^m / a^n = a^(m - n)

Using this rule, we can rewrite the expression:

13^12 / 13^-10 = 13^(12 - (-10))

Simplifying further:

13^12 / 13^-10 = 13^(12 + 10)

Adding the exponents:

13^12 / 13^-10 = 13^22

Therefore, the expression simplifies to 13^22.