Question

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

Answer 1

2500

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`