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

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. \[ \begin{array}{r} -(8)^{0}=\square \\ 2\left(-\frac{5}{7}\right)^{0}=\square \end{array} \]
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Solution

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Solution Steps

Step 1: Evaluate −(8)0-(8)^{0}

Any non-zero number raised to the power of 0 is equal to 1. Therefore: 80=1 8^{0} = 1 Now, apply the negative sign: −(8)0=−1 -(8)^{0} = -1

Step 2: Evaluate 2(−57)02\left(-\frac{5}{7}\right)^{0}

Any non-zero number raised to the power of 0 is equal to 1. Therefore: (−57)0=1 \left(-\frac{5}{7}\right)^{0} = 1 Now, multiply by 2: 2(−57)0=2×1=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 -(8)^{0} = -1 2(−57)0=2 2\left(-\frac{5}{7}\right)^{0} = 2

Final Answer

−(8)0=−1 -(8)^{0} = \boxed{-1} 2(−57)0=2 2\left(-\frac{5}{7}\right)^{0} = \boxed{2}

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