Question

enter the value of each of the following expressions as a whole number or a fraction without using exponents.
a. $6^{0}=$
b. $9^{0}=$
c. $177750^{0}=$
d. $5^{-1}=$
e. $2^{-3}=$
f. $7^{-2}=$
points possible: 2
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Explanation:

Step1: Recall zero - exponent rule

Any non - zero number to the power of 0 is 1. So, $6^0 = 1$, $9^0 = 1$, $177750^0 = 1$.

Step2: Recall negative - exponent rule

$a^{-n}=\frac{1}{a^{n}}$. So, $5^{-1}=\frac{1}{5}$, $2^{-3}=\frac{1}{2^3}=\frac{1}{8}$, $7^{-2}=\frac{1}{7^2}=\frac{1}{49}$.

Answer:

a. 1
b. 1
c. 1
d. $\frac{1}{5}$
e. $\frac{1}{8}$
f. $\frac{1}{49}$