Apply the Property of Negative Integer Exponents to generate an expression equivalent to 7^-3 x 7^-5 but with positive exponents only.

Answer 1

To generate an expression equivalent to 7^-3 x 7^-5 with positive exponents only, we can use the property of negative integer exponents which states that for any nonzero number, a, and integers m and n:

a^-m x a^-n = 1 / (a^m x a^n)

Therefore, we can rewrite 7^-3 x 7^-5 as:

1 / (7^3 x 7^5)

This simplifies to:

1 / 7^8

Therefore, the expression equivalent to 7^-3 x 7^-5 but with positive exponents only is 1 / 7^8.

Answer 2

Apply the Property of Negative Integer Exponents to generate an expression equivalent to 5^-9/4^-12

Answer 3

To generate an expression equivalent to 5^-9 / 4^-12 using the property of negative integer exponents, we can rewrite the expression as:

5^-9 / 4^-12

Using the property of negative integer exponents, we can rewrite this expression as:

(1/5^9) / (1/4^12)

This simplifies to:

(4^12) / (5^9)

Therefore, the expression equivalent to 5^-9 / 4^-12 using the property of negative integer exponents is 4^12 / 5^9.

Answer 4

Apply the Property of Negative Integer Exponents to generate an expression equivalent 1/8^5

Answer 5

To generate an expression equivalent to 1/8^5 using the property of negative integer exponents, we can rewrite the expression as:

1/(8^5)

Using the property of negative integer exponents, we can rewrite this expression as:

(1/1) / (8^5)

This simplifies to:

1 / (8^5)

Therefore, the expression equivalent to 1/8^5 using the property of negative integer exponents is 1/(8^5).

Answer 6

Which of the following is an equivalent expression to 13^−5 ⋅13^−11 with only positive exponents, generated by applying the properties of exponents?(1 point)

Answer 7

To find an equivalent expression to 13^−5 ⋅ 13^−11 with only positive exponents, we can use the property of exponents that states that when multiplying numbers with the same base, you can add the exponents.

Therefore, 13^−5 ⋅ 13^−11 can be simplified as:

13^(-5 - 11)
= 13^-16

Thus, the equivalent expression with only positive exponents is 1/13^16.