To solve this expression, we use the order of operations (PEMDAS/BODMAS), which stands for Parentheses/Brackets, Exponents/Orders, Multiplication and Division, and Addition and Subtraction.
First, let's simplify each component of the expression:
8^2/3: This is the same as finding the cube root of 8^2, which is 64. (-1/16)^-0.75: This is equivalent to 1/(-1/16)^0.75, which is -16.(1/4)^1.5: This is equivalent to √((1/4)^3), which is 1/8.
Now, substitute these values back into the expression: 64 - (-16) + 1/8 = 64 + 16 + 1/8 = 80 + 1/8 = 80 1/8
To solve this expression, we use the order of operations (PEMDAS/BODMAS), which stands for Parentheses/Brackets, Exponents/Orders, Multiplication and Division, and Addition and Subtraction.
First, let's simplify each component of the expression:
8^2/3: This is the same as finding the cube root of 8^2, which is 64. (-1/16)^-0.75: This is equivalent to 1/(-1/16)^0.75, which is -16.(1/4)^1.5: This is equivalent to √((1/4)^3), which is 1/8.Now, substitute these values back into the expression:
64 - (-16) + 1/8
= 64 + 16 + 1/8
= 80 + 1/8
= 80 1/8
Therefore, the final result is 80 1/8.