−∣15∣=
\( -\left|15\right| = \)
\( -\left|7\right| = \)
\( -\left|23\right| = \)
\( -\lvert5^3\rvert= \)
\( -\lvert3^4\rvert= \)
To solve the given expression , we need to find the absolute value of , then apply the negative sign.
The absolute value of a number is the non-negative value of that number without regard to its sign.
Thus, .
Now apply the negative sign: .
Therefore, the answer is .
In the given expression, , the absolute value of is required.
The absolute value, , is since absolute value denotes a non-negative distance from zero.
Applying the negative sign changes it to .
The final result, therefore, is .
To solve the expression , first find the absolute value of .
The absolute value of a number is the distance between the number and zero on the number line, so .
Then apply the negative sign: .
Hence, the correct answer is .
First, calculate the cube of 5: .
Then, apply the absolute value:
since 125 is positive, .
Finally, apply the negative sign outside the absolute value: .
First, calculate the fourth power of 3: .
Then, apply the absolute value:
since 81 is positive, .
Finally, apply the negative sign outside the absolute value: .
\( -\left|-x^3\right|= \)
\( -\left|2z\right|= \)
\( -\left|3y^2\right|= \)
\( -\left|-y^2\right|= \)
\( -\lvert4^2\rvert= \)
The expression has an absolute value and a negative sign outside of the absolute value. When you take the absolute value of , it results in , which is assuming is a real number. The negative sign outside the absolute value inverts it back to . Thus, the correct interpretation of the original expression is .
The absolute value function simply returns when is positive and when is negative, ensuring the result is non-negative. However, the minus sign outside the absolute value negates the result of the absolute value. Therefore, results in for all . Hence, the original expression evaluates to .
The absolute value of is itself because is always non-negative regardless of the value of since any real number squared is non-negative. The negative sign outside the absolute value indicates that the expression evaluates to .
\( −\left|-18\right|= \)