Question Evaluate the expressions: $\left(\frac{4}{7}\right)^{0}$ and $-(9)^{0}$ .

Studdy Solution

STEP 1

1. The expression $\left(\frac{4}{7}\right)^{0}$ involves the exponentiation of a fraction to the power of zero.
2. The expression $-(9)^{0}$ involves the exponentiation of a negative number to the power of zero.
3. According to the properties of exponents, any nonzero number raised to the power of zero is equal to 1.

STEP 2

1. Evaluate $\left(\frac{4}{7}\right)^{0}$ .
2. Evaluate $-(9)^{0}$ .

STEP 3

Apply the property that any nonzero number raised to the power of zero is 1.
$\left(\frac{4}{7}\right)^{0} = 1$

STEP 4

Apply the property that any nonzero number raised to the power of zero is 1, and note that the negative sign is not affected by the exponent since it is outside the parentheses.
$-(9)^{0} = -1$
The evaluated expressions are: $\left(\frac{4}{7}\right)^{0} = 1$ $-(9)^{0} = -1$

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