Simplify 13^12÷13^−10
.(1 point)
The rule for dividing powers with the same base is to subtract the exponents.
Therefore, 13^12 ÷ 13^(-10) can be simplified as 13^(12-(-10)), which is equal to 13^(12+10).
12 + 10 = 22
So, 13^12 ÷ 13^(-10) simplifies to 13^22.
Simplify 4^13÷3^−5
.(1 point)
The rule for dividing powers with the same base is to subtract the exponents.
Therefore, 4^13 ÷ 3^(-5) can be simplified as 4^13 ÷ 3^(-5) = 4^13 * 3^5.
So, 4^13 ÷ 3^(-5) simplifies to 4^13 * 3^5.
To simplify the expression 13^12 ÷ 13^-10, we can use the rule of exponents that states: a^m ÷ a^n = a^(m-n).
In this case, we have 13^12 ÷ 13^-10.
Applying the rule of exponents, we can subtract the exponents:
12 - (-10) = 12 + 10 = 22.
Therefore, 13^12 ÷ 13^-10 simplifies to 13^22.