Question

Simplify 4^13÷3^−5. (1 point)

Answer 1

Simplify this expression using the Quotient Rule of Integer Exponents: t400t100.(1 point)

Answer 2

Simplify a67b34.(1 point)

Answer 3

Simplify a^67/b^34.(1 point)

Answer 4

Using the law of exponents, we can simplify the expression as follows:

4^13 ÷ 3^(-5)
= 4^13 / (1 / 3^5)
= 4^13 × 3^5
= (2^2)^13 × 3^5
= 2^(2×13) × 3^5
= 2^26 × 3^5

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

Answer 5

The quotient rule states that when dividing two numbers with the same base, the exponents can be subtracted:

t^400 ÷ t^100 = t^(400-100) = t^300

Therefore, the simplified expression is t^300.

Answer 6

The expression "a67b34" cannot be simplified further as it does not have any exponent or like terms to combine. Therefore, the simplified form of "a67b34" is still "a67b34".

Answer 7

To simplify the expression a^67/b^34, we can apply the quotient rule of exponents.

According to the quotient rule, when dividing two numbers with the same base, we subtract the exponents:
a^67/b^34 = a^(67-34)/b^34 = a^33/b^34

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