Question

What is the exponential form of (7⁵)÷(7²)?

Answer 1

Answer:(7^3)

Step-by-step explanation:(7^5)/(7^2)

:5-2=3

Answer 2

Answer:

• $\sf 7^3 = 343$

Solution:

We know,

$\red\bigstar\;\;\boxed{\sf\frac{a^m}{a^n}=a^{m-n}}$

$\implies \sf7^5\div 7^2\\\\\implies\sf 7^{(5-2)}\\\\\implies\sf \pink{7^3}\\\\\implies 343$

More to know:

• $\sf a^m\times a^n = a^{m+n}$
• $\sf (a^m)^n = a^{mn}$
• $\sf a^1 = a$
• $\sf a^0 = 1$
• $\sf a^{-m}=\frac{1}{a^m}$
• $\sf a^{m/n}=\sqrt[m]{a^n} = \sqrt[m]{a}\;^n$