MAY YOU PLEASE ANSEWR THIS CORRECTLY
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
A
11316
Start Fraction 1 over 13 superscript 16 baseline end fraction
B
12616
Start Fraction 1 over 26 superscript 16 baseline end fraction
C
1266
Start Fraction 1 over 26 superscript 6 baseline end fraction
D
1136
To rewrite exponents with positive exponents, we can use the property of exponents that states: a^(-n) = 1 / a^n.
Therefore, 13^(-5) ⋅ 13^(-11) becomes 1 / 13^5 ⋅ 1 / 13^11.
Using the property of exponents again, we can simplify this expression as:
1 / (13^5) ⋅ 1 / (13^11) = 1 / 13^(5 + 11) = 1 / 13^16.
So, the equivalent expression with only positive exponents is Start Fraction 1 over 13 superscript 16 baseline end fraction, represented by choice A.