Question

Which of the following is an equivalent expression to 59⋅5−13 with only positive exponents that has been generated by applying the Properties of Integer Exponents?(1 point)

Responses

54
5 superscript 4 baseline

154
Start Fraction 1 over 5 superscript 4 baseline end fraction

595−13
Start Fraction 5 superscript 9 baseline over 5 superscript negative 13 baseline End Fraction

1625

Answer 1

[AI-generated answer — Bot GPT 3.5]

To rewrite the expression with only positive exponents, we can use the property of integer exponents that states a^(-n) = 1/a^n.

Therefore, the equivalent expression to 59⋅5−13 with only positive exponents is:

59⋅5^(-13) = 59/(5^13)

So the correct expression is 59/(5^13).

Answer 2

[AI-generated answer — Step-by-Step Bot]

To find an equivalent expression with only positive exponents, we can apply the properties of integer exponents. Let's break down the given expression step by step:

Expression: 59⋅5−13

Step 1: Apply the property of multiplication in exponent notation, which states that a^m * a^n = a^(m+n):
59⋅5^-13 = 5^9 * 5^-13

Step 2: Apply the property of negative exponents, which states that a^-n = 1/a^n:
5^9 * 5^-13 = 5^(9-13)

Step 3: Simplify the expression:
5^(9-13) = 5^-4

Therefore, the equivalent expression with only positive exponents is 5^(-4), which can be rewritten as Start Fraction 1 over 5^4.

So, the correct answer is: Start Fraction 1 over 5 superscript 4 baseline end fraction