How do you simplify Fractions similar to this?
((1/x^4)*(x^8))/1^2
Please give an explanation <3
\(\frac{\frac1{x^4}*x^8}{1^2}\) 1^2 = 1
\(=\frac{\frac1{x^4}*x^8}{1}\) Any number divided by 1 equals the original number.
\(=\frac1{x^4}*x^8\) Multiply straight across.
\(=\frac{x^8}{x^4}\) Use the exponent rule that says: \(\frac{x^a}{x^b}=x^{a-b}\)
\(=x^{8-4} \\~\\ =x^4\)
\(\frac{\frac1{x^4}*x^8}{1^2}\) 1^2 = 1
\(=\frac{\frac1{x^4}*x^8}{1}\) Any number divided by 1 equals the original number.
\(=\frac1{x^4}*x^8\) Multiply straight across.
\(=\frac{x^8}{x^4}\) Use the exponent rule that says: \(\frac{x^a}{x^b}=x^{a-b}\)
\(=x^{8-4} \\~\\ =x^4\)