<u>Given</u><u> info</u><u>:</u><u>-</u><u> </u>What number should [(-5/3)³]^-3 be multiply obtain (-3/5)⁴ ?
<u>Explanation</u><u>:</u><u>-</u>
Given number = [(-5/3)³]^-3
Let the required number be X
On multiplying [(-5/3)³]^-3 with X
⇛ [(-5/3)³]^-3 × X
According to the given problem
The result = (-3/5)⁴
⇛ [(-5/3)³]^-3 × X = (-3/5)⁴
⇛ (-5/3)^(3×-3) × X = (-3/5)⁴
Since (a^m)^n = a^mn
⇛ (-5/3)^-9 ×X = (-3/5)⁴
⇛(-3/5)⁹ ×X = (-3/5)⁴
Since a^-n = 1/a^n
⇛X = (-3/5)⁴/(-3/5)⁹
⇛X = (-3/5)^(4-9)
Since a^m / a^n = a^(m-n)
⇛ X = (-3/5)^-5
⇛ X = (-5/3)⁵
Since a^-n = 1/a^n
Therefore, X = (-5/3)⁵
<u>The required number for the given problem is (-5/3)</u><u>⁵</u><u>.</u>
Answer:
Step-by-step explanation:
a). By applying Pythagoras theorem in right triangle ABC,
AC² = AB² + BC²
20² = 16² + BC²
BC = 
= 12
Therefore, another leg of the triangular base = 12 cm
Area of the triangular base ABC = 
= 
= 96 cm²
Volume of a triangular prism = Area of the triangular base × height
960 = 96 × b
b = 10 cm
b). Area of the triangle ABC = 96 cm²
Answer: 1/4
Explanation: Slope formula is (y1-y2)/(x1-x2)
Just plug in those numbers from the data points and you will get your answer.
-26-(-32) = 6
-37-(-61) = 24
6/24 = 1/4
Answer:
-6 <= g < 3
Step-by-step explanation:
-6 <= g < 3