Question

Match the following expressions with their correct results using law of exponents:

• A. $5^3$
• B. $2^3$
• C. $3^2$

Answer 1

Laws of exponents for division is

$x^a÷x^b=x^{a-b}$

Hence, the first expression is

$2^5÷2^2=2^{5-2}=2^3$

Similarly,

$3^4÷3^2=3^{4-2}=3^2$

The last expression is

$5^5÷5^2=5^{5-2}=5^3$