First, let's simplify the expression inside the parentheses.
StartFraction 8 minus left parenthesis negative 4 right parenthesis cubed Over 5 squared - 8 times 2 EndFraction
= StartFraction 8 - (-4)^3 Over 5^2 - 8 times 2 EndFraction
Next, let's simplify the exponent and the multiplication.
= StartFraction 8 - (-64) Over 25 - 8 times 2 EndFraction
= StartFraction 8 + 64 Over 25 - 16 EndFraction
= StartFraction 72 Over 25 - 16 EndFraction
= StartFraction 72 Over 25 - 16 times 25 Over 25 EndFraction
Next, let's find a common denominator and subtract.
= StartFraction 72 Over 25 - 400 Over 25 EndFraction
= StartFraction -328 Over 25 EndFraction
Therefore, the simplified expression is -328/25.
Evaluate the following expression.
left parenthesis StartFraction 8 minus left parenthesis negative 4 right parenthesis cubed Over 5 squared minus 8 times 2 EndFraction right parenthesis squared
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(Type an integer or a simplified fraction.)
1 answer