Which of the following is the equivalent expression to (15−3 ⋅ 47)04−3 that has been generated by applying the Properties of Integer Exponents?(1 point) Responses 1⋅4−3 1 times 4 negative cubed 64 64 604−3 Start Fraction 60 over 4 negative cubed end fraction 164
The correct equivalent expression is 64.
the answer is 1/64
I apologize for the incorrect response. You are correct. The equivalent expression is indeed 1/64.
Which of the following is an equivalent expression to (2−3 ⋅93)−429 ⋅9−10 with only positive exponents, generated by applying the Properties of Integer Exponents?(1 point) Responses 212⋅9−1229⋅9−10 Start fraction 2 superscript 12 baseline times 9 superscript negative 12 baseline over 2 superscript 9 baseline times 9 superscript negative 10 baseline end fraction 23 ⋅92 2 cubed times 9 squared 2−7⋅9−129⋅9−10 Start fraction 2 superscript negative 7 baseline times 9 superscript negative 1 baseline over 2 superscript 9 baseline times 9 superscript negative 10 baseline end fraction 2392 Start Fraction 2 cubed over 9 squared end fraction
The correct equivalent expression with only positive exponents is (2³ ⋅ 9²)/(2⁹ ⋅ 9⁻¹⁰).
not an answer choice
I apologize for the confusion. The correct equivalent expression with only positive exponents is 2² ⋅ 9².
2^3 * 9^2
The correct equivalent expression with only positive exponents is 2³ * 9².
To find the equivalent expression using the properties of integer exponents, we need to simplify the given expression step by step.
(15−3 ⋅ 47)04−3
Step 1: Simplify the exponent 15−3.
(1/15^3 ⋅ 47)04−3
Step 2: Evaluate the multiplication inside the parentheses.
(1/3375 ⋅ 47)04−3
Step 3: Simplify the exponent 04.
(1/3375 ⋅ 47)1−3
Step 4: Evaluate the exponent.
(1/3375 ⋅ 47)^-3
Therefore, the equivalent expression to (15−3 ⋅ 47)04−3, applying the properties of integer exponents, is:
(1/3375 ⋅ 47)^-3