Question

Simplify the expression 5^3 x 5^-5

Answer 1

D for sure I think so a lot 1.

Answer 2

Answer:

$\frac{1}{5^2}$ --- 1 over 5 squared

Step-by-step explanation:

When multiplying terms with a common base, you just add the exponents:

$x^a\times x^b=x^{a+ b}$

That's true even when you don't have any exponents.

$5\times5=5^1\times5^1=5^{1+1}=5^2=25$

$\rightarrow5^3\times5^{-5}\\\rightarrow5^{3-5}\\\rightarrow5^{-2}$

A negative exponent isn't fully simplified, so there's another rule to use:

$x^{-y}=\frac{1}{x^y}$

That is '1 over x to the y' if it's too small to read.

$\rightarrow5^{-2}=\frac{1}{5^2}$