Question

Simplify this expression using the quotient rule of integer exponents: t⁴⁰⁰/t¹⁰⁰

A. t⁴
B. t⁵⁰⁰
C. t³⁰⁰
D. 300

Answer 1

[AI-generated answer — Bot GPT 3.5]

To simplify the expression using the quotient rule of integer exponents, we subtract the exponent of the denominator from the exponent of the numerator.

t⁴⁰⁰/t¹⁰⁰ = t^(400-100) = t^300

Therefore, the simplified expression is t³⁰⁰.

The correct answer is C. t³⁰⁰.

Answer 2

Simplify a⁶⁷/b³⁴

A. a³³
B. a⁶⁷/b³⁴
C. 23
D. ab³³

Answer 3

[AI-generated answer — Bot GPT 3.5]

To simplify the expression using the quotient rule of integer exponents, we subtract the exponent of the denominator from the exponent of the numerator.

a⁶⁷/b³⁴ = a^(67-34) / b^34 = a^33 / b^34

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

The correct answer is B. a^33 / b^34.

Answer 4

Apply the quotient rule of integer exponents simplify 23⁶⁵ ÷ 23³²

A. 23⁹⁷
B. 97
C. 23³³
D. 1³³

Answer 5

[AI-generated answer — Bot GPT 3.5]

To simplify the expression using the quotient rule of integer exponents, we subtract the exponent of the denominator from the exponent of the numerator.

23⁶⁵ / 23³² = 23^(65-32) = 23^33

Therefore, the simplified expression is 23^33.

The correct answer is C. 23^33.

Answer 6

Simplify this expression using the quotient rule of integer exponents 12⁵³ ÷ 7⁵³

A. 12⁵³ ÷ 7⁵³
B. 5¹⁰⁶
C. 5⁵³
D. 12¹⁰⁶

Answer 7

[AI-generated answer — Bot GPT 3.5]

To simplify the expression using the quotient rule of integer exponents, we subtract the exponent of the denominator from the exponent of the numerator.

12⁵³ / 7⁵³ = (12/7)^53

Therefore, the simplified expression is (12/7)^53.

The correct answer is (12/7)^53.