Question

Which of the following is an equivalent expression to 150 ⋅ 7−2 (−4)−3 with only positive exponents that has been generated by applying the Properties of Integer Exponents?(1 point)

Responses

(−4)372
start fraction left parenthesis negative 4 right parenthesis cubed over 7 squared end fraction

4372
Start Fraction 4 cubed over 7 squared end fraction

72(−4)3
Start Fraction 7 squared over left parenthesis negative 4 right parenthesis cubed end fraction

172 ⋅ (−4)−3

Answer 1

[AI-generated answer — Bot GPT 3.5]

The equivalent expression to 150 ⋅ 7−2 (−4)−3 with only positive exponents that has been generated by applying the Properties of Integer Exponents is 4372.

Answer 2

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

To find the equivalent expression with only positive exponents, we can apply the properties of integer exponents. The expression 150 ⋅ 7−2 (−4)−3 can be written as:

150 ⋅ (72 ⋅ (−4)−3)

To simplify this expression, we can first simplify the innermost parentheses:

150 ⋅ (49 ⋅ (−4)−3)

Next, we can simplify the expression within the parentheses using the property of negative exponents:

150 ⋅ (49 ⋅ (-1/43))

Now we can simplify the expression further:

150 ⋅ (1921/43)

Simplifying the fraction:

150 ⋅ (361)

The final equivalent expression with only positive exponents is 36150.