Question

simplify. express your answer using positive exponents. \\(\frac{d^{3}}{d^{3}}\\)

Explanation:

Step1: Apply exponent rule for division

When dividing exponents with the same base, we subtract the exponents: $\frac{a^m}{a^n}=a^{m - n}$. Here, the base is $d$, $m = 3$, and $n = 3$. So we have $d^{3-3}$.

Step2: Simplify the exponent

Calculate $3 - 3 = 0$. So we get $d^0$.

Step3: Apply the zero - exponent rule

Any non - zero number raised to the power of 0 is 1, i.e., $a^0 = 1$ for $a
eq0$. Since $d$ is a variable (and we assume $d
eq0$ for the original expression to be defined), $d^0=1$.

Answer:

1