Question

Simplify this expression using the quotient rule of integer exponents

T^400/t^100

Answer 1

Simplify a^67/b^34

Answer 2

Apply the quotient rule of integer exponents to simplify 23^65÷23^32

Answer 3

Simplify the expression using the quotient of integer exponents

12^53÷7^53

Answer 4

Using the quotient rule of integer exponents, we subtract the exponents of T and t:

T^400/t^100 = T^(400-100) = T^300

Therefore, the simplified expression is T^300.

Answer 5

Using the quotient rule of integer exponents, we subtract the exponents of a and b:

a^67/b^34 = a^(67-34) / b^34 = a^33 / b^34

Therefore, the simplified expression is a^33 / b^34.

Answer 6

When dividing by powers with the same base, we subtract the exponents:

23^65 ÷ 23^32 = 23^(65 - 32) = 23^33

Therefore, the simplified expression is 23^33.

Answer 7

When dividing powers with the same base, we subtract the exponents:

12^53 ÷ 7^53 = (12/7)^53

Therefore, the expression cannot be simplified any further.