Which of the following is an equivalent expression written in exponential form to 5^9×5^-13 with only positive exponents that has been generated by applying the properties of exponents

Question

1/5^4

5^9/5^-13

5^4

1/625

Answer 1

The equivalent expression written in exponential form with only positive exponents is 1/625.

Answer 2

Simplify using exponent rules: 7^4×7×7^13×7^-20

28^-2

1/7^2

1/7^3

1/7^-2

Answer 3

To simplify the expression 7^4 × 7 × 7^13 × 7^-20 using exponent rules, we can add the exponents for the same base and multiply the coefficients:

7^4 × 7 × 7^13 × 7^-20 = 7^(4 + 1 + 13 - 20) = 7^(-2)

Therefore, the simplified expression is 1/7^2

Answer 4

Fully simplify using exponent rules: (5^8/5^6)^2

1^4

5^2

25^4

5^4

Answer 5

To simplify the expression (5^8/5^6)^2 using exponent rules, we need to apply two rules:

Rule 1: When dividing two numbers with the same base, we subtract the exponents.
Rule 2: When raising a power to another power, we multiply the exponents.

Applying these rules, we can simplify the expression as follows:

(5^8/5^6)^2 = 5^(8-6)^2 = 5^2^2

Now, we can apply the second rule:

5^2^2 = 5^(2*2) = 5^4

Therefore, the fully simplified expression is 5^4.

Answer 6

Simplify using the exponent rules: (answer can only have positive exponents) (x^3)(×^-6)

x7
1/x^28
1/x13
x8

Answer 7

To simplify (x^3)(×^-6), we can apply the exponent rules as follows:

Multiply the coefficients: 1 * x^3 = x^3

Add the exponents since the bases are the same: x^3 * x^-6 = x^(3 + (-6)) = x^(-3)

To convert the expression to have positive exponents, we can rewrite it as 1/x^3.

Therefore, the simplified expression is 1/x^3.