Questions: Evaluating expressions with exponents of z Evaluate the expressions. -(8)^0=□ 2(-5/7)^0=□

Transcript text: Evaluating expressions with exponents of $z$ Evaluate the expressions. \[ \begin{array}{r} -(8)^{0}=\square \\ 2\left(-\frac{5}{7}\right)^{0}=\square \end{array} \]

Solution

Solution Steps

Step 1: Evaluate $-(8)^{0}$

Any non-zero number raised to the power of 0 is equal to 1. Therefore: \[ 8^{0} = 1 \] Now, apply the negative sign: \[ -(8)^{0} = -1 \]

Step 2: Evaluate $2\left(-\frac{5}{7}\right)^{0}$

Any non-zero number raised to the power of 0 is equal to 1. Therefore: \[ \left(-\frac{5}{7}\right)^{0} = 1 \] Now, multiply by 2: \[ 2\left(-\frac{5}{7}\right)^{0} = 2 \times 1 = 2 \]

Step 3: Write the final results

The evaluated expressions are: \[ -(8)^{0} = -1 \] \[ 2\left(-\frac{5}{7}\right)^{0} = 2 \]