Answer:

Step-by-step explanation:
Given:

This reads as: 256 to the power of "-4 to the power of 3/2".
Therefore, we need to deal with the "-4 to the power of 3/2" first.
Rewrite the 4 as 2²:




Therefore:

Replace "-4 to the power of 3/2" with -8 :

Rewrite 256 as 2⁸ :




In one complete calculation:

Learn more about exponent rules here:
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Let
be the height of the triangle.
Formular for area of Triangle
= ½ × base × height
thus,
Simplifying
Convert the mixed numbers to improper fractions then find the LCD and combine.
exact form: 8/3
decimal form: 2.6
mixed number form: 2 2/3
"A construction company is stringing up signs ... "
Divide 4 miles by 1/8 mile:
4 miles
--------------------------- = 32 signs are needed
(1/8) mile per sign
Answer:
x= 116°
y= 127°
Step-by-step explanation:
x... The angle subtended at the centre is twice the angle subtended at the cicumfernce by the same arch
y.... Angle in a cyclic quadrilateral add up to 180°
hence 180-53=127