Question

If 5^x=100, what is the value of 5^{x+2}?

Answer 1

Answer:

2500

Step-by-step explanation:

Using exponent rule $a^b \cdot a^c=a^{b+c}$

$\implies 5^{x+2}=5^x \cdot 5^2=25 \cdot 5^x$

If $5^x=100$ then:

$\implies 25 \cdot 5^x=25 \cdot 100=2500$