Question

What is the value of c in the equation below? 3 5 125 625

Answer 1

$\bf ~~~~~~~~~~~~\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} \qquad \qquad \cfrac{1}{a^n}\implies a^{-n} \qquad \qquad a^n\implies \cfrac{1}{a^{-n}} \\\\ -------------------------------\\\\ \cfrac{5^5}{5^2}\implies 5^5\cdot 5^{-2}\implies 5^{5-2}\implies 5^3\implies 125$

Answer 2

Answer:

The value of C is 125

Step-by-step explanation:

We need to find the value of C of the expression $\frac{5^{5}}{5^{2}}=a^{b}=C$

Since, $\frac{a^{m}}{b^{n}}=a^{m-n}$

$\frac{5^{5}}{5^{2}}=a^{b}=C$

$5^{5-2}=a^{b}=C$

$5^{3}=a^{b}=C$

now,

$5^{3}=C$

$125=C$

Hence, the value of C is 125