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)
(2 − 3 ⋅ 9^3) − 4^2 ⋅ 9 − 10 is an equivalent expression with only positive exponents.
sure
Another equivalent expression with only positive exponents would be (2^1 − 3 ⋅ 9^3) − 4^2 ⋅ 9^1 − 10.
are you sure
Apologies for the confusion. Let me correct my response.
An equivalent expression to (2−3 ⋅ 9^3)−4^2 ⋅ 9−10 with only positive exponents would be:
(2^1 − 3 ⋅ (9^3)^1) − 4^2 ⋅ (9^1) − 10.
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
2392
Start Fraction 2 cubed over 9 squared end fraction
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
To simplify the expression (2−3 ⋅ 9^3)−4^2 ⋅ 9−10 with only positive exponents, we can rewrite it as follows:
(2^1 − 3 ⋅ (9^3)^1) − (4^2) ⋅ (9^1)−10
Now we can simplify each term separately:
2^1 = 2
3 ⋅ (9^3)^1 = 3 ⋅ (9^(3⋅1)) = 3 ⋅ 9^3
4^2 = 4 ⋅ 4 = 16
9^1 = 9
Substituting these values into the expression, we get:
2 − 3 ⋅ 9^3 − 16 ⋅ 9 − 10
Hence, the equivalent expression to (2−3 ⋅ 9^3)−4^2 ⋅ 9−10 with only positive exponents is 2 − 3 ⋅ 9^3 − 16 ⋅ 9 − 10