Answer:
[tex]\frac{1}{5^2}[/tex] --- 1 over 5 squared
Step-by-step explanation:
When multiplying terms with a common base, you just add the exponents:
[tex]x^a\times x^b=x^{a+ b}[/tex]
That's true even when you don't have any exponents.
[tex]5\times5=5^1\times5^1=5^{1+1}=5^2=25[/tex]
[tex]\rightarrow5^3\times5^{-5}\\\rightarrow5^{3-5}\\\rightarrow5^{-2}[/tex]
A negative exponent isn't fully simplified, so there's another rule to use:
[tex]x^{-y}=\frac{1}{x^y}[/tex]
That is '1 over x to the y' if it's too small to read.
[tex]\rightarrow5^{-2}=\frac{1}{5^2}[/tex]
