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)

Question

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)

Responses

12616
Start Fraction 1 over 26 superscript 16 baseline end fraction

1266
Start Fraction 1 over 26 superscript 6 baseline end fraction

11316
Start Fraction 1 over 13 superscript 16 baseline end fraction

1136
Start Fraction 1 over 13 Superscript 6 baseline End Fraction

Answer 1

The correct answer is:

Start Fraction 1 over 13 Superscript 6 baseline End Fraction

Answer 2

Which of the following is an equivalent expression to 14−79−13 with only positive exponents, generated by applying the Property of Negative Integer Exponents?(1 point)

Responses

913147
Start Fraction 9 superscript 13 baseline over 14 superscript 7 baseline end fraction

14−7⋅913
14 superscript negative 7 baseline times 9 superscript 13 baseline

147913
Start Fraction 14 superscript 7 baseline over 9 superscript 13 baseline End Fraction

1913 ⋅14−7

Answer 3

The correct answer is:

14−7⋅913

Answer 4

To simplify the expression 13−5 ⋅13−11 with only positive exponents, you can use the property of exponents that states a^(-n) is equal to 1/a^n.

So, 13^(-5) is equivalent to 1/13^5, and 13^(-11) is equivalent to 1/13^11.

The expression can then be rewritten as:

1/(13^5) ⋅ 1/(13^11).

When multiplying two fractions, you multiply the numerators together and the denominators together. Therefore, the expression simplifies to:

1/(13^5 * 13^11).

To combine the exponents, you add them together: 5 + 11 = 16.

So, the equivalent expression with only positive exponents is:

1/13^16.

Therefore, the answer is: Start Fraction 1 over 13 superscript 16 baseline end fraction.

Answer 5

To find the equivalent expression with only positive exponents, we need to apply the properties of exponents.

The given expression is 13 - 5 * 13 - 11.

First, let's simplify the expression by multiplying:

13 - 5 * 13 = 13 - (5 * 13) = 13 - 65 = -52

Now, we have -52 - 11.

To get rid of the negative sign, we can rewrite -52 as (-1) * 52.

Now, we have (-1) * 52 - 11.

Applying the multiplication property of exponents, we can rewrite the expression as:

(-1) * 52 - 11 = -1 * 52 - 1 * 11 = -52 - 11

Since multiplication and division have the same priority, we can remove the parentheses:

-52 - 11 = -63.

Now, we have the simplified expression, -63.

Unfortunately, none of the given options match the simplified expression -63. Therefore, none of the options provided is an equivalent expression to 13 - 5 * 13 - 11 with only positive exponents.